577872465107013 has 12 divisors (see below), whose sum is σ = 844761354615360. Its totient is φ = 380606764166376.

The previous prime is 577872465106999. The next prime is 577872465107017. The reversal of 577872465107013 is 310701564278775.

577872465107013 is a `hidden beast` number, since 5 + 7 + 7 + 8 + 7 + 2 + 46 + 510 + 70 + 1 + 3 = 666.

It is not a de Polignac number, because 577872465107013 - 2¹⁰ = 577872465105989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (577872465107017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386795491293 + ... + 386795492786.

It is an arithmetic number, because the mean of its divisors is an integer number (70396779551280).

Almost surely, 2^{577872465107013} is an apocalyptic number.

It is an amenable number.

577872465107013 is a deficient number, since it is larger than the sum of its proper divisors (266888889508347).

577872465107013 is a wasteful number, since it uses less digits than its factorization.

577872465107013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773590984168 (or 773590984165 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 577872465107013 in words is "five hundred seventy-seven trillion, eight hundred seventy-two billion, four hundred sixty-five million, one hundred seven thousand, thirteen".