635755506123 has 32 divisors (see below), whose sum is σ = 879198584832. Its totient is φ = 408206714400.

The previous prime is 635755506107. The next prime is 635755506149. The reversal of 635755506123 is 321605557536.

635755506123 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 635755506123 - 2⁴ = 635755506107 is a prime.

It is a super-2 number, since 2×635755506123² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (635755506103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96748428 + ... + 96754998.

It is an arithmetic number, because the mean of its divisors is an integer number (27474955776).

Almost surely, 2^635755506123 is an apocalyptic number.

635755506123 is a deficient number, since it is larger than the sum of its proper divisors (243443078709).

635755506123 is a wasteful number, since it uses less digits than its factorization.

635755506123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11415.

The product of its (nonzero) digits is 2835000, while the sum is 48.

The spelling of 635755506123 in words is "six hundred thirty-five billion, seven hundred fifty-five million, five hundred six thousand, one hundred twenty-three".