253034716914225 has 135 divisors (see below), whose sum is σ = 461828610285783. Its totient is φ = 132434333285760.

The previous prime is 253034716914157. The next prime is 253034716914241. The reversal of 253034716914225 is 522419617430352.

It is a happy number.

The square root of 253034716914225 is 15907065.

It is a perfect power (a square), and thus also a powerful number.

253034716914225 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 3 + 471 + 6 + 9 + 142 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 128081935694241 + 124952781219984 = 11317329^2 + 11178228^2 .

It is not a de Polignac number, because 253034716914225 - 2²⁵ = 253034683359793 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1271531240676 + ... + 1271531240874.

Almost surely, 2^{253034716914225} is an apocalyptic number.

253034716914225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253034716914225 is the 15907065-th square number.

253034716914225 is the 7953533-rd centered octagonal number.

It is an amenable number.

253034716914225 is a deficient number, since it is larger than the sum of its proper divisors (208793893371558).

253034716914225 is an frugal number, since it uses more digits than its factorization.

253034716914225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 253034716914225 in words is "two hundred fifty-three trillion, thirty-four billion, seven hundred sixteen million, nine hundred fourteen thousand, two hundred twenty-five".