25171253316441 has 6 divisors (see below), whose sum is σ = 36358477012650. Its totient is φ = 16780835544288.

The previous prime is 25171253316401. The next prime is 25171253316457. The reversal of 25171253316441 is 14461335217152.

25171253316441 is a `hidden beast` number, since 2 + 5 + 1 + 7 + 12 + 533 + 1 + 64 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24364382288841 + 806871027600 = 4936029^2 + 898260^2 .

It is not a de Polignac number, because 25171253316441 - 2¹¹ = 25171253314393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25171253316401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1398402962016 + ... + 1398402962033.

It is an arithmetic number, because the mean of its divisors is an integer number (6059746168775).

Almost surely, 2^{25171253316441} is an apocalyptic number.

It is an amenable number.

25171253316441 is a deficient number, since it is larger than the sum of its proper divisors (11187223696209).

25171253316441 is a wasteful number, since it uses less digits than its factorization.

25171253316441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796805924055 (or 2796805924052 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 25171253316441 in words is "twenty-five trillion, one hundred seventy-one billion, two hundred fifty-three million, three hundred sixteen thousand, four hundred forty-one".