25701304031253 has 12 divisors (see below), whose sum is σ = 38029571819148. Its totient is φ = 16716295304640.

The previous prime is 25701304031219. The next prime is 25701304031261. The reversal of 25701304031253 is 35213040310752.

25701304031253 is a `hidden beast` number, since 2 + 5 + 70 + 1 + 304 + 0 + 31 + 253 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2056794827409 + 23644509203844 = 1434153^2 + 4862562^2 .

It is not a de Polignac number, because 25701304031253 - 2⁶ = 25701304031189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25701304031203) 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, 34825614850 + ... + 34825615587.

It is an arithmetic number, because the mean of its divisors is an integer number (3169130984929).

Almost surely, 2^{25701304031253} is an apocalyptic number.

It is an amenable number.

25701304031253 is a deficient number, since it is larger than the sum of its proper divisors (12328267787895).

25701304031253 is a wasteful number, since it uses less digits than its factorization.

25701304031253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69651230484 (or 69651230481 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 25701304031253 in words is "twenty-five trillion, seven hundred one billion, three hundred four million, thirty-one thousand, two hundred fifty-three".