179825713027921 has 9 divisors (see below), whose sum is σ = 184319245012699. Its totient is φ = 175439183630800.

The previous prime is 179825713027837. The next prime is 179825713027949. The reversal of 179825713027921 is 129720317528971.

The square root of 179825713027921 is 13409911.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8665010562321 + 171160702465600 = 2943639^2 + 13082840^2 .

It is not a de Polignac number, because 179825713027921 - 2²³ = 179825704639313 is a prime.

It is a super-2 number, since 2×179825713027921² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (179825713027951) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 549642816 + ... + 549969886.

Almost surely, 2^{179825713027921} is an apocalyptic number.

179825713027921 is the 13409911-st square number.

179825713027921 is the 6704956-th centered octagonal number.

It is an amenable number.

179825713027921 is a deficient number, since it is larger than the sum of its proper divisors (4493531984778).

179825713027921 is an frugal number, since it uses more digits than its factorization.

179825713027921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654224 (or 327112 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 64.

The spelling of 179825713027921 in words is "one hundred seventy-nine trillion, eight hundred twenty-five billion, seven hundred thirteen million, twenty-seven thousand, nine hundred twenty-one".