2521377167013 has 40 divisors (see below), whose sum is σ = 3925749741056. Its totient is φ = 1610901626400.

The previous prime is 2521377167003. The next prime is 2521377167017. The reversal of 2521377167013 is 3107617731252.

2521377167013 is a `hidden beast` number, since 2 + 521 + 37 + 7 + 16 + 70 + 13 = 666.

It is not a de Polignac number, because 2521377167013 - 2¹⁸ = 2521376904869 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2521377167013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521377167017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4615798 + ... + 5133063.

Almost surely, 2^{2521377167013} is an apocalyptic number.

It is an amenable number.

2521377167013 is a deficient number, since it is larger than the sum of its proper divisors (1404372574043).

2521377167013 is a wasteful number, since it uses less digits than its factorization.

2521377167013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749007 (or 9748998 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

It can be divided in two parts, 25213771 and 67013, that added together give a square (25280784 = 5028²).

The spelling of 2521377167013 in words is "two trillion, five hundred twenty-one billion, three hundred seventy-seven million, one hundred sixty-seven thousand, thirteen".