25501235040581 has 2 divisors, whose sum is σ = 25501235040582. Its totient is φ = 25501235040580.

The previous prime is 25501235040493. The next prime is 25501235040637. The reversal of 25501235040581 is 18504053210552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25366997072356 + 134237968225 = 5036566^2 + 366385^2 .

It is a cyclic number.

It is not a de Polignac number, because 25501235040581 - 2¹⁴ = 25501235024197 is a prime.

It is a super-2 number, since 2×25501235040581² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25501235040881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12750617520290 + 12750617520291.

It is an arithmetic number, because the mean of its divisors is an integer number (12750617520291).

Almost surely, 2^{25501235040581} is an apocalyptic number.

It is an amenable number.

25501235040581 is a deficient number, since it is larger than the sum of its proper divisors (1).

25501235040581 is an equidigital number, since it uses as much as digits as its factorization.

25501235040581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240000, while the sum is 41.

The spelling of 25501235040581 in words is "twenty-five trillion, five hundred one billion, two hundred thirty-five million, forty thousand, five hundred eighty-one".