25025055006013 has 2 divisors, whose sum is σ = 25025055006014. Its totient is φ = 25025055006012.

The previous prime is 25025055006001. The next prime is 25025055006019. The reversal of 25025055006013 is 31060055052052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15479290903129 + 9545764102884 = 3934373^2 + 3089622^2 .

It is a cyclic number.

It is not a de Polignac number, because 25025055006013 - 2⁵ = 25025055005981 is a prime.

It is a super-2 number, since 2×25025055006013² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25025055006013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25025055006019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12512527503006 + 12512527503007.

It is an arithmetic number, because the mean of its divisors is an integer number (12512527503007).

Almost surely, 2^{25025055006013} is an apocalyptic number.

It is an amenable number.

25025055006013 is a deficient number, since it is larger than the sum of its proper divisors (1).

25025055006013 is an equidigital number, since it uses as much as digits as its factorization.

25025055006013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 25025055006013 in words is "twenty-five trillion, twenty-five billion, fifty-five million, six thousand, thirteen".