252114457 has 12 divisors (see below), whose sum is σ = 294981156. Its totient is φ = 214841760.

The previous prime is 252114451. The next prime is 252114463. The reversal of 252114457 is 754411252.

It is an interprime number because it is at equal distance from previous prime (252114451) and next prime (252114463).

It can be written as a sum of positive squares in 2 ways, for example, as 226924096 + 25190361 = 15064^2 + 5019^2 .

It is not a de Polignac number, because 252114457 - 2⁷ = 252114329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252114451) 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, 6394 + ... + 23347.

It is an arithmetic number, because the mean of its divisors is an integer number (24581763).

Almost surely, 2^252114457 is an apocalyptic number.

It is an amenable number.

252114457 is a deficient number, since it is larger than the sum of its proper divisors (42866699).

252114457 is a wasteful number, since it uses less digits than its factorization.

252114457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29928 (or 29921 counting only the distinct ones).

The product of its digits is 11200, while the sum is 31.

The square root of 252114457 is about 15878.1125137719. The cubic root of 252114457 is about 631.7315738059.

The spelling of 252114457 in words is "two hundred fifty-two million, one hundred fourteen thousand, four hundred fifty-seven".