523625088 has 128 divisors (see below), whose sum is σ = 1609413120. Its totient is φ = 147741696.

The previous prime is 523625057. The next prime is 523625149. The reversal of 523625088 is 880526325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221931 + ... + 224277.

It is an arithmetic number, because the mean of its divisors is an integer number (12573540).

Almost surely, 2^523625088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804706560).

523625088 is an abundant number, since it is smaller than the sum of its proper divisors (1085788032).

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

523625088 is a wasteful number, since it uses less digits than its factorization.

523625088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 523625088 is about 22882.8557658348. The cubic root of 523625088 is about 806.0094780168.

The spelling of 523625088 in words is "five hundred twenty-three million, six hundred twenty-five thousand, eighty-eight".