251431220102051 has 16 divisors (see below), whose sum is σ = 283147802496000. Its totient is φ = 221191753087200.

The previous prime is 251431220102047. The next prime is 251431220102071. The reversal of 251431220102051 is 150201022134152.

251431220102051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 251431220102051 - 2² = 251431220102047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (251431220102071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5899661 + ... + 23187678.

It is an arithmetic number, because the mean of its divisors is an integer number (17696737656000).

Almost surely, 2^{251431220102051} is an apocalyptic number.

251431220102051 is a deficient number, since it is larger than the sum of its proper divisors (31716582393949).

251431220102051 is a wasteful number, since it uses less digits than its factorization.

251431220102051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29112730.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 251431220102051 in words is "two hundred fifty-one trillion, four hundred thirty-one billion, two hundred twenty million, one hundred two thousand, fifty-one".