252513623800 has 48 divisors (see below), whose sum is σ = 587183176800. Its totient is φ = 100990137600.

The previous prime is 252513623779. The next prime is 252513623821. The reversal of 252513623800 is 8326315252.

It is an interprime number because it is at equal distance from previous prime (252513623779) and next prime (252513623821).

It is a self number, because there is not a number n which added to its sum of digits gives 252513623800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1275921 + ... + 1460479.

It is an arithmetic number, because the mean of its divisors is an integer number (12232982850).

Almost surely, 2^252513623800 is an apocalyptic number.

252513623800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252513623800 is an abundant number, since it is smaller than the sum of its proper divisors (334669553000).

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

252513623800 is a wasteful number, since it uses less digits than its factorization.

252513623800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191416 (or 191407 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

It can be divided in two parts, 25251 and 3623800, that added together give a triangular number (3649051 = T₂₇₀₁).

The spelling of 252513623800 in words is "two hundred fifty-two billion, five hundred thirteen million, six hundred twenty-three thousand, eight hundred".