251214453432252 has 72 divisors (see below), whose sum is σ = 635154583911120. Its totient is φ = 83719656126720.

The previous prime is 251214453432251. The next prime is 251214453432269. The reversal of 251214453432252 is 252234354412152.

251214453432252 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 1 + 44 + 534 + 3 + 22 + 52 = 666.

It is a super-2 number, since 2×251214453432252² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251214453432198 and 251214453432207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251214453432251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3342313552 + ... + 3342388712.

It is an arithmetic number, because the mean of its divisors is an integer number (8821591443210).

Almost surely, 2^{251214453432252} is an apocalyptic number.

It is an amenable number.

251214453432252 is an abundant number, since it is smaller than the sum of its proper divisors (383940130478868).

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

251214453432252 is a wasteful number, since it uses less digits than its factorization.

251214453432252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94443 (or 94438 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The spelling of 251214453432252 in words is "two hundred fifty-one trillion, two hundred fourteen billion, four hundred fifty-three million, four hundred thirty-two thousand, two hundred fifty-two".