2610523350013 has 2 divisors, whose sum is σ = 2610523350014. Its totient is φ = 2610523350012.

The previous prime is 2610523349989. The next prime is 2610523350059. The reversal of 2610523350013 is 3100533250162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1348668787684 + 1261854562329 = 1161322^2 + 1123323^2 .

It is a cyclic number.

It is not a de Polignac number, because 2610523350013 - 2²⁵ = 2610489795581 is a prime.

It is a super-2 number, since 2×2610523350013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2610523350073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1305261675006 + 1305261675007.

It is an arithmetic number, because the mean of its divisors is an integer number (1305261675007).

Almost surely, 2^{2610523350013} is an apocalyptic number.

It is an amenable number.

2610523350013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2610523350013 is an equidigital number, since it uses as much as digits as its factorization.

2610523350013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 2610523350013 in words is "two trillion, six hundred ten billion, five hundred twenty-three million, three hundred fifty thousand, thirteen".