10979057961 has 27 divisors (see below), whose sum is σ = 16188069079. Its totient is φ = 7170373392.

The previous prime is 10979057953. The next prime is 10979057987. The reversal of 10979057961 is 16975097901.

It is a happy number.

The square root of 10979057961 is 104781.

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

10979057961 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 9 + 0 + 579 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7914771225 + 3064286736 = 88965^2 + 55356^2 .

It is not a de Polignac number, because 10979057961 - 2³ = 10979057953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10979057898 and 10979057907.

It is not an unprimeable number, because it can be changed into a prime (10979057951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16659850 + ... + 16660508.

Almost surely, 2^10979057961 is an apocalyptic number.

10979057961 is the 104781-st square number.

10979057961 is the 52391-st centered octagonal number.

It is an amenable number.

10979057961 is a deficient number, since it is larger than the sum of its proper divisors (5209011118).

10979057961 is an frugal number, since it uses more digits than its factorization.

10979057961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The spelling of 10979057961 in words is "ten billion, nine hundred seventy-nine million, fifty-seven thousand, nine hundred sixty-one".