252536004 has 108 divisors (see below), whose sum is σ = 746928000. Its totient is φ = 71731296.

The previous prime is 252535991. The next prime is 252536017. The reversal of 252536004 is 400635252.

252536004 is a `hidden beast` number, since 2 + 5 + 2 + 53 + 600 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (252535991) and next prime (252536017).

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 35 ways as a sum of consecutive naturals, for example, 421297 + ... + 421895.

It is an arithmetic number, because the mean of its divisors is an integer number (6916000).

Almost surely, 2^252536004 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 252536004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

252536004 is an abundant number, since it is smaller than the sum of its proper divisors (494391996).

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

252536004 is a wasteful number, since it uses less digits than its factorization.

252536004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 252536004 is about 15891.3814377479. The cubic root of 252536004 is about 632.0834725244.

The spelling of 252536004 in words is "two hundred fifty-two million, five hundred thirty-six thousand, four".