525852233469696 has 1152 divisors, whose sum is σ = 1733661230579712. Its totient is φ = 138326704128000.

The previous prime is 525852233469679. The next prime is 525852233469701. The reversal of 525852233469696 is 696964332258525.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65072664376 + ... + 65072672456.

It is an arithmetic number, because the mean of its divisors is an integer number (1504914262656).

Almost surely, 2^{525852233469696} is an apocalyptic number.

525852233469696 is a gapful number since it is divisible by the number (56) 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 525852233469696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866830615289856).

525852233469696 is an abundant number, since it is smaller than the sum of its proper divisors (1207808997110016).

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

525852233469696 is a wasteful number, since it uses less digits than its factorization.

525852233469696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8409 (or 8395 counting only the distinct ones).

The product of its digits is 5038848000, while the sum is 75.

The spelling of 525852233469696 in words is "five hundred twenty-five trillion, eight hundred fifty-two billion, two hundred thirty-three million, four hundred sixty-nine thousand, six hundred ninety-six".