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5131035525 = 3527113128661
BaseRepresentation
bin1001100011101010…
…10110001110000101
3111020120221121111210
410301311112032011
541002021114100
62205051522033
7241103040150
oct46165261605
914216847453
105131035525
1121a3376a30
12bb2459319
1363a04a7c5
14369650c97
152006dbc50
hex131d56385

5131035525 has 96 divisors (see below), whose sum is σ = 10918158336. Its totient is φ = 2063520000.

The previous prime is 5131035509. The next prime is 5131035527. The reversal of 5131035525 is 5255301315.

It is not a de Polignac number, because 5131035525 - 24 = 5131035509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5131035492 and 5131035501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131035527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164695 + ... + 193355.

It is an arithmetic number, because the mean of its divisors is an integer number (113730816).

Almost surely, 25131035525 is an apocalyptic number.

5131035525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5131035525 is an abundant number, since it is smaller than the sum of its proper divisors (5787122811).

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

5131035525 is a wasteful number, since it uses less digits than its factorization.

5131035525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28723 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The square root of 5131035525 is about 71631.2468480062. The cubic root of 5131035525 is about 1724.7851612299.

The spelling of 5131035525 in words is "five billion, one hundred thirty-one million, thirty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 31 33 35 55 75 77 93 105 155 165 175 217 231 275 341 385 465 525 651 775 825 1023 1085 1155 1705 1925 2325 2387 3255 5115 5425 5775 7161 8525 11935 16275 25575 28661 35805 59675 85983 143305 179025 200627 315271 429915 601881 716525 888491 945813 1003135 1576355 2149575 2206897 2665473 3009405 4442455 4729065 5015675 6219437 6620691 7881775 9773401 11034485 13327365 15047025 18658311 22212275 23645325 29320203 31097185 33103455 48867005 55172425 66636825 68413807 93291555 146601015 155485925 165517275 205241421 244335025 342069035 466457775 733005075 1026207105 1710345175 5131035525