680656350361 has 9 divisors (see below), whose sum is σ = 737053697439. Its totient is φ = 628288269336.

The previous prime is 680656350347. The next prime is 680656350371. The reversal of 680656350361 is 163053656086.

The square root of 680656350361 is 825019.

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., 100688809225 + 579967541136 = 317315^2 + 761556^2 .

It is not a de Polignac number, because 680656350361 - 2⁷ = 680656350233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680656350371) 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, 10693516 + ... + 10756978.

It is an arithmetic number, because the mean of its divisors is an integer number (81894855271).

Almost surely, 2^680656350361 is an apocalyptic number.

680656350361 is the 825019-th square number.

680656350361 is the 412510-th centered octagonal number.

It is an amenable number.

680656350361 is a deficient number, since it is larger than the sum of its proper divisors (56397347078).

680656350361 is an frugal number, since it uses more digits than its factorization.

680656350361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126952 (or 63476 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 680656350361 by its sum of digits (49), we get a square (33352161167689 = 5775133²).

The spelling of 680656350361 in words is "six hundred eighty billion, six hundred fifty-six million, three hundred fifty thousand, three hundred sixty-one".