252105051553000 has 64 divisors (see below), whose sum is σ = 592102669317120. Its totient is φ = 100469909736000.

The previous prime is 252105051552997. The next prime is 252105051553027. The reversal of 252105051553000 is 355150501252.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464867472 + ... + 465409471.

It is an arithmetic number, because the mean of its divisors is an integer number (9251604208080).

Almost surely, 2^{252105051553000} is an apocalyptic number.

252105051553000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252105051553000 is an abundant number, since it is smaller than the sum of its proper divisors (339997617764120).

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

252105051553000 is a wasteful number, since it uses less digits than its factorization.

252105051553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930277235 (or 930277221 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

The spelling of 252105051553000 in words is "two hundred fifty-two trillion, one hundred five billion, fifty-one million, five hundred fifty-three thousand".