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1325337552 = 243571119233
BaseRepresentation
bin100111011111111…
…0000101111010000
310102100212010100000
41032333300233100
510203241300202
6335302330000
744562116610
oct11677605720
93370763300
101325337552
116201337a0
1230ba29900
13181769a06
14c8038a40
157b54791c
hex4eff0bd0

1325337552 has 480 divisors, whose sum is σ = 5069675520. Its totient is φ = 324725760.

The previous prime is 1325337547. The next prime is 1325337553. The reversal of 1325337552 is 2557335231.

1325337552 is a `hidden beast` number, since 1 + 3 + 2 + 533 + 75 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325337553) 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, 5688028 + ... + 5688260.

It is an arithmetic number, because the mean of its divisors is an integer number (10561824).

Almost surely, 21325337552 is an apocalyptic number.

1325337552 is a gapful number since it is divisible by the number (12) 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 1325337552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534837760).

1325337552 is an abundant number, since it is smaller than the sum of its proper divisors (3744337968).

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

1325337552 is a wasteful number, since it uses less digits than its factorization.

1325337552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 1325337552 is about 36405.1857844456. The cubic root of 1325337552 is about 1098.4378796380.

It can be divided in two parts, 13253 and 37552, that added together give a palindrome (50805).

The spelling of 1325337552 in words is "one billion, three hundred twenty-five million, three hundred thirty-seven thousand, five hundred fifty-two".