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5325011300 = 2252722933709
BaseRepresentation
bin1001111010110010…
…10011100101100100
3111202002221121020202
410331121103211210
541401200330200
62240221250032
7245646564200
oct47531234544
914662847222
105325011300
112292914894
121047403918
1366b2a5a7b
14387305b00
152127561d5
hex13d653964

5325011300 has 108 divisors (see below), whose sum is σ = 13491363060. Its totient is φ = 1818996480.

The previous prime is 5325011299. The next prime is 5325011309. The reversal of 5325011300 is 31105235.

It can be written as a sum of positive squares in 6 ways, for example, as 682276 + 5324329024 = 826^2 + 72968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5325011309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1433846 + ... + 1437554.

Almost surely, 25325011300 is an apocalyptic number.

5325011300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745681530).

5325011300 is an abundant number, since it is smaller than the sum of its proper divisors (8166351760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5325011300 is a wasteful number, since it uses less digits than its factorization.

5325011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 5325011300 is about 72972.6750229153. The cubic root of 5325011300 is about 1746.2517106808.

Adding to 5325011300 its reverse (31105235), we get a palindrome (5356116535).

The spelling of 5325011300 in words is "five billion, three hundred twenty-five million, eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 293 350 490 586 700 980 1172 1225 1465 2051 2450 2930 3709 4102 4900 5860 7325 7418 8204 10255 14357 14650 14836 18545 20510 25963 28714 29300 37090 41020 51275 51926 57428 71785 74180 92725 102550 103852 129815 143570 181741 185450 205100 259630 287140 358925 363482 370900 519260 649075 717850 726964 908705 1086737 1298150 1435700 1817410 2173474 2596300 3634820 4346948 4543525 5433685 7607159 9087050 10867370 15214318 18174100 21734740 27168425 30428636 38035795 53250113 54336850 76071590 106500226 108673700 152143180 190178975 213000452 266250565 380357950 532501130 760715900 1065002260 1331252825 2662505650 5325011300