252583008 has 48 divisors (see below), whose sum is σ = 702036720. Its totient is φ = 79241216.

The previous prime is 252583003. The next prime is 252583031. The reversal of 252583008 is 800385252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 252583008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252583003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75753 + ... + 79016.

It is an arithmetic number, because the mean of its divisors is an integer number (14625765).

Almost surely, 2^252583008 is an apocalyptic number.

It is an amenable number.

252583008 is an abundant number, since it is smaller than the sum of its proper divisors (449453712).

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

252583008 is a wasteful number, since it uses less digits than its factorization.

252583008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154799 (or 154791 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 252583008 is about 15892.8602837878. The cubic root of 252583008 is about 632.1226862179.

The spelling of 252583008 in words is "two hundred fifty-two million, five hundred eighty-three thousand, eight".