252151354012100 has 18 divisors (see below), whose sum is σ = 547168438206474. Its totient is φ = 100860541604800.

The previous prime is 252151354012093. The next prime is 252151354012123. The reversal of 252151354012100 is 1210453151252.

252151354012100 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 3 ways, for example, as 15015439000576 + 237135915011524 = 3874976^2 + 15399218^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1260756769961 + ... + 1260756770160.

Almost surely, 2^{252151354012100} is an apocalyptic number.

252151354012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252151354012100 is an abundant number, since it is smaller than the sum of its proper divisors (295017084194374).

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

252151354012100 is a wasteful number, since it uses less digits than its factorization.

252151354012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521513540135 (or 2521513540128 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 252151354012100 in words is "two hundred fifty-two trillion, one hundred fifty-one billion, three hundred fifty-four million, twelve thousand, one hundred".