251304053342000 has 80 divisors (see below), whose sum is σ = 607912118684832. Its totient is φ = 100478789625600.

The previous prime is 251304053341987. The next prime is 251304053342051. The reversal of 251304053342000 is 243350403152.

251304053342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×251304053342000² (a number of 30 digits) contains 22 as substring.

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, 22074647 + ... + 31462646.

Almost surely, 2^{251304053342000} is an apocalyptic number.

251304053342000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251304053342000 is an abundant number, since it is smaller than the sum of its proper divisors (356608065342832).

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

251304053342000 is a wasteful number, since it uses less digits than its factorization.

251304053342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53539663 (or 53539647 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 251304053342000 in words is "two hundred fifty-one trillion, three hundred four billion, fifty-three million, three hundred forty-two thousand".