61634177323325 has 24 divisors (see below), whose sum is σ = 79062654565800. Its totient is φ = 47606557429760.

The previous prime is 61634177323319. The next prime is 61634177323379. The reversal of 61634177323325 is 52332377143616.

It can be written as a sum of positive squares in 12 ways, for example, as 1179789164761 + 60454388158564 = 1086181^2 + 7775242^2 .

It is not a de Polignac number, because 61634177323325 - 2²⁴ = 61634160546109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72215681 + ... + 73064169.

It is an arithmetic number, because the mean of its divisors is an integer number (3294277273575).

Almost surely, 2^{61634177323325} is an apocalyptic number.

It is an amenable number.

61634177323325 is a deficient number, since it is larger than the sum of its proper divisors (17428477242475).

61634177323325 is a wasteful number, since it uses less digits than its factorization.

61634177323325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948721 (or 948716 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 53.

The spelling of 61634177323325 in words is "sixty-one trillion, six hundred thirty-four billion, one hundred seventy-seven million, three hundred twenty-three thousand, three hundred twenty-five".