656179382401 has 3 divisors (see below), whose sum is σ = 656180192451. Its totient is φ = 656178572352.

The previous prime is 656179382387. The next prime is 656179382407. The reversal of 656179382401 is 104283971656.

The square root of 656179382401 is 810049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 656020622401 + 158760000 = 809951^2 + 12600^2 .

It is not a de Polignac number, because 656179382401 - 2²¹ = 656177285249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (656179382407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 405025 + ... + 1215073.

It is an arithmetic number, because the mean of its divisors is an integer number (218726730817).

It is a 1-persistent number, because it is pandigital, but 2⋅656179382401 = 1312358764802 is not.

Almost surely, 2^656179382401 is an apocalyptic number.

656179382401 is the 810049-th square number.

656179382401 is the 405025-th centered octagonal number.

It is an amenable number.

656179382401 is a deficient number, since it is larger than the sum of its proper divisors (810050).

656179382401 is an frugal number, since it uses more digits than its factorization.

656179382401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620098 (or 810049 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 656179382401 in words is "six hundred fifty-six billion, one hundred seventy-nine million, three hundred eighty-two thousand, four hundred one".