251525024425253 has 2 divisors, whose sum is σ = 251525024425254. Its totient is φ = 251525024425252.

The previous prime is 251525024425219. The next prime is 251525024425277. The reversal of 251525024425253 is 352524420525152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211423290321604 + 40101734103649 = 14540402^2 + 6332593^2 .

It is a cyclic number.

It is not a de Polignac number, because 251525024425253 - 2¹² = 251525024421157 is a prime.

It is a super-2 number, since 2×251525024425253² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 251525024425198 and 251525024425207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251525024425153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125762512212626 + 125762512212627.

It is an arithmetic number, because the mean of its divisors is an integer number (125762512212627).

Almost surely, 2^{251525024425253} is an apocalyptic number.

It is an amenable number.

251525024425253 is a deficient number, since it is larger than the sum of its proper divisors (1).

251525024425253 is an equidigital number, since it uses as much as digits as its factorization.

251525024425253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800000, while the sum is 47.

The spelling of 251525024425253 in words is "two hundred fifty-one trillion, five hundred twenty-five billion, twenty-four million, four hundred twenty-five thousand, two hundred fifty-three".