2513513102957 has 2 divisors, whose sum is σ = 2513513102958. Its totient is φ = 2513513102956.

The previous prime is 2513513102923. The next prime is 2513513102959. The reversal of 2513513102957 is 7592013153152.

2513513102957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2495297281801 + 18215821156 = 1579651^2 + 134966^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513513102957 - 2⁸ = 2513513102701 is a prime.

Together with 2513513102959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513513102959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256756551478 + 1256756551479.

It is an arithmetic number, because the mean of its divisors is an integer number (1256756551479).

Almost surely, 2^{2513513102957} is an apocalyptic number.

It is an amenable number.

2513513102957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513513102957 is an equidigital number, since it uses as much as digits as its factorization.

2513513102957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500, while the sum is 44.

The spelling of 2513513102957 in words is "two trillion, five hundred thirteen billion, five hundred thirteen million, one hundred two thousand, nine hundred fifty-seven".