25220400617513 has 2 divisors, whose sum is σ = 25220400617514. Its totient is φ = 25220400617512.

The previous prime is 25220400617491. The next prime is 25220400617521. The reversal of 25220400617513 is 31571600402252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19711930595344 + 5508470022169 = 4439812^2 + 2347013^2 .

It is a cyclic number.

It is not a de Polignac number, because 25220400617513 - 2³² = 25216105650217 is a prime.

It is a super-2 number, since 2×25220400617513² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (25220400617543) 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, 12610200308756 + 12610200308757.

It is an arithmetic number, because the mean of its divisors is an integer number (12610200308757).

Almost surely, 2^{25220400617513} is an apocalyptic number.

It is an amenable number.

25220400617513 is a deficient number, since it is larger than the sum of its proper divisors (1).

25220400617513 is an equidigital number, since it uses as much as digits as its factorization.

25220400617513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 25220400617513 in words is "twenty-five trillion, two hundred twenty billion, four hundred million, six hundred seventeen thousand, five hundred thirteen".