252645510500 has 24 divisors (see below), whose sum is σ = 551777796024. Its totient is φ = 101058204000.

The previous prime is 252645510493. The next prime is 252645510511. The reversal of 252645510500 is 5015546252.

252645510500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34190228836 + 218455281664 = 184906^2 + 467392^2 .

It is a super-2 number, since 2×252645510500² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252645011 + ... + 252646010.

It is an arithmetic number, because the mean of its divisors is an integer number (22990741501).

Almost surely, 2^252645510500 is an apocalyptic number.

252645510500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252645510500 is an abundant number, since it is smaller than the sum of its proper divisors (299132285524).

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

252645510500 is a wasteful number, since it uses less digits than its factorization.

252645510500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505291040 (or 505291028 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 252645510500 in words is "two hundred fifty-two billion, six hundred forty-five million, five hundred ten thousand, five hundred".