253874257 has 16 divisors (see below), whose sum is σ = 328908160. Its totient is φ = 190294272.

The previous prime is 253874251. The next prime is 253874281. The reversal of 253874257 is 752478352.

It is not a de Polignac number, because 253874257 - 2³ = 253874249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253874251) 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, 71688 + ... + 75145.

It is an arithmetic number, because the mean of its divisors is an integer number (20556760).

Almost surely, 2^253874257 is an apocalyptic number.

It is an amenable number.

253874257 is a deficient number, since it is larger than the sum of its proper divisors (75033903).

253874257 is a wasteful number, since it uses less digits than its factorization.

253874257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146872.

The product of its digits is 470400, while the sum is 43.

The square root of 253874257 is about 15933.4320533901. The cubic root of 253874257 is about 633.1980301607.

The spelling of 253874257 in words is "two hundred fifty-three million, eight hundred seventy-four thousand, two hundred fifty-seven".