251142251013441 has 12 divisors (see below), whose sum is σ = 362786219417700. Its totient is φ = 167416541107200.

The previous prime is 251142251013439. The next prime is 251142251013461. The reversal of 251142251013441 is 144310152241152.

251142251013441 is a `hidden beast` number, since 2 + 5 + 1 + 1 + 4 + 2 + 2 + 510 + 134 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126838928273841 + 124303322739600 = 11262279^2 + 11149140^2 .

It is not a de Polignac number, because 251142251013441 - 2¹ = 251142251013439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251142251013396 and 251142251013405.

It is not an unprimeable number, because it can be changed into a prime (251142251013421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 968716116 + ... + 968975333.

It is an arithmetic number, because the mean of its divisors is an integer number (30232184951475).

Almost surely, 2^{251142251013441} is an apocalyptic number.

It is an amenable number.

251142251013441 is a deficient number, since it is larger than the sum of its proper divisors (111643968404259).

251142251013441 is a wasteful number, since it uses less digits than its factorization.

251142251013441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937705856 (or 1937705853 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 251142251013441 in words is "two hundred fifty-one trillion, one hundred forty-two billion, two hundred fifty-one million, thirteen thousand, four hundred forty-one".