635755506125 has 16 divisors (see below), whose sum is σ = 793756194816. Its totient is φ = 508390736400.

The previous prime is 635755506107. The next prime is 635755506149. The reversal of 635755506125 is 521605557536.

635755506125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 635755506125 - 2¹⁴ = 635755489741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769277 + ... + 1365026.

It is an arithmetic number, because the mean of its divisors is an integer number (49609762176).

Almost surely, 2^635755506125 is an apocalyptic number.

It is an amenable number.

635755506125 is a deficient number, since it is larger than the sum of its proper divisors (158000688691).

635755506125 is a wasteful number, since it uses less digits than its factorization.

635755506125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136701 (or 2136691 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 50.

The spelling of 635755506125 in words is "six hundred thirty-five billion, seven hundred fifty-five million, five hundred six thousand, one hundred twenty-five".