122753512673325 has 18 divisors (see below), whose sum is σ = 219865180477514. Its totient is φ = 65468540092320.

The previous prime is 122753512673291. The next prime is 122753512673347. The reversal of 122753512673325 is 523376215357221.

122753512673325 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 5 + 3 + 51 + 267 + 3 + 325 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26233675221924 + 96519837451401 = 5121882^2 + 9824451^2 .

It is not a de Polignac number, because 122753512673325 - 2¹⁵ = 122753512640557 is a prime.

It is a super-2 number, since 2×122753512673325² (a number of 29 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 272785583494 + ... + 272785583943.

Almost surely, 2^{122753512673325} is an apocalyptic number.

122753512673325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122753512673325 is a deficient number, since it is larger than the sum of its proper divisors (97111667804189).

122753512673325 is a wasteful number, since it uses less digits than its factorization.

122753512673325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545571167453 (or 545571167445 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 122753512673325 in words is "one hundred twenty-two trillion, seven hundred fifty-three billion, five hundred twelve million, six hundred seventy-three thousand, three hundred twenty-five".