325137262633560 has 1024 divisors, whose sum is σ = 1204220473344000. Its totient is φ = 77541472419840.

The previous prime is 325137262633501. The next prime is 325137262633637. The reversal of 325137262633560 is 65336262731523.

325137262633560 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 3 + 7 + 2 + 626 + 3 + 3 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 325137262633497 and 325137262633506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15990609154 + ... + 15990629486.

It is an arithmetic number, because the mean of its divisors is an integer number (1175996556000).

Almost surely, 2^{325137262633560} is an apocalyptic number.

325137262633560 is a gapful number since it is divisible by the number (30) 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 325137262633560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602110236672000).

325137262633560 is an abundant number, since it is smaller than the sum of its proper divisors (879083210710440).

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

325137262633560 is a wasteful number, since it uses less digits than its factorization.

325137262633560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20713 (or 20703 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 325137262633560 in words is "three hundred twenty-five trillion, one hundred thirty-seven billion, two hundred sixty-two million, six hundred thirty-three thousand, five hundred sixty".