125025052013 has 2 divisors, whose sum is σ = 125025052014. Its totient is φ = 125025052012.

The previous prime is 125025051997. The next prime is 125025052069. The reversal of 125025052013 is 310250520521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114042640804 + 10982411209 = 337702^2 + 104797^2 .

It is an emirp because it is prime and its reverse (310250520521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125025052013 - 2⁴ = 125025051997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125025052813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62512526006 + 62512526007.

It is an arithmetic number, because the mean of its divisors is an integer number (62512526007).

Almost surely, 2^125025052013 is an apocalyptic number.

It is an amenable number.

125025052013 is a deficient number, since it is larger than the sum of its proper divisors (1).

125025052013 is an equidigital number, since it uses as much as digits as its factorization.

125025052013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 125025052013 its reverse (310250520521), we get a palindrome (435275572534).

The spelling of 125025052013 in words is "one hundred twenty-five billion, twenty-five million, fifty-two thousand, thirteen".