252583104 has 28 divisors (see below), whose sum is σ = 668293304. Its totient is φ = 84194304.

The previous prime is 252583103. The next prime is 252583151. The reversal of 252583104 is 401385252.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252583103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 657577 + ... + 657960.

It is an arithmetic number, because the mean of its divisors is an integer number (23867618).

Almost surely, 2^252583104 is an apocalyptic number.

252583104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252583104 is an abundant number, since it is smaller than the sum of its proper divisors (415710200).

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

252583104 is a wasteful number, since it uses less digits than its factorization.

252583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315552 (or 1315542 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 252583104 is about 15892.8633040116. The cubic root of 252583104 is about 632.1227663022.

The spelling of 252583104 in words is "two hundred fifty-two million, five hundred eighty-three thousand, one hundred four".