25524017681 has 2 divisors, whose sum is σ = 25524017682. Its totient is φ = 25524017680.

The previous prime is 25524017663. The next prime is 25524017683. The reversal of 25524017681 is 18671042552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19707667456 + 5816350225 = 140384^2 + 76265^2 .

It is a cyclic number.

It is not a de Polignac number, because 25524017681 - 2¹⁰ = 25524016657 is a prime.

It is a super-2 number, since 2×25524017681² (a number of 22 digits) contains 22 as substring.

Together with 25524017683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (25524017683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12762008840 + 12762008841.

It is an arithmetic number, because the mean of its divisors is an integer number (12762008841).

Almost surely, 2^25524017681 is an apocalyptic number.

It is an amenable number.

25524017681 is a deficient number, since it is larger than the sum of its proper divisors (1).

25524017681 is an equidigital number, since it uses as much as digits as its factorization.

25524017681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 25524017681 in words is "twenty-five billion, five hundred twenty-four million, seventeen thousand, six hundred eighty-one".