523509264 has 40 divisors (see below), whose sum is σ = 1502666720. Its totient is φ = 174502944.

The previous prime is 523509251. The next prime is 523509281. The reversal of 523509264 is 462905325.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 605482 + ... + 606345.

It is an arithmetic number, because the mean of its divisors is an integer number (37566668).

Almost surely, 2^523509264 is an apocalyptic number.

523509264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

523509264 is an abundant number, since it is smaller than the sum of its proper divisors (979157456).

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

523509264 is a wasteful number, since it uses less digits than its factorization.

523509264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211844 (or 1211832 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 523509264 is about 22880.3248228691. The cubic root of 523509264 is about 805.9500448282.

The spelling of 523509264 in words is "five hundred twenty-three million, five hundred nine thousand, two hundred sixty-four".