2525504135013 has 24 divisors (see below), whose sum is σ = 3773295741696. Its totient is φ = 1626038971200.

The previous prime is 2525504135003. The next prime is 2525504135023. The reversal of 2525504135013 is 3105314055252.

2525504135013 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 504 + 135 + 0 + 13 = 666.

2525504135013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2525504135003) and next prime (2525504135023).

It is not a de Polignac number, because 2525504135013 - 2¹⁰ = 2525504133989 is a prime.

It is a super-2 number, since 2×2525504135013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525504135003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9080920 + ... + 9354897.

It is an arithmetic number, because the mean of its divisors is an integer number (157220655904).

Almost surely, 2^{2525504135013} is an apocalyptic number.

It is an amenable number.

2525504135013 is a deficient number, since it is larger than the sum of its proper divisors (1247791606683).

2525504135013 is a wasteful number, since it uses less digits than its factorization.

2525504135013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18436345 (or 18436342 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2525504135013 in words is "two trillion, five hundred twenty-five billion, five hundred four million, one hundred thirty-five thousand, thirteen".