61131079009 has 135 divisors (see below), whose sum is σ = 89368777701. Its totient is φ = 41656174560.

The previous prime is 61131079001. The next prime is 61131079049. The reversal of 61131079009 is 90097013116.

The square root of 61131079009 is 247247.

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

It can be written as a sum of positive squares in 2 ways, for example, as 30309765409 + 30821313600 = 174097^2 + 175560^2 .

It is not a de Polignac number, because 61131079009 - 2³ = 61131079001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61131079001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3217425202 + ... + 3217425220.

Almost surely, 2^61131079009 is an apocalyptic number.

61131079009 is the 247247-th square number.

61131079009 is the 123624-th centered octagonal number.

It is an amenable number.

61131079009 is a deficient number, since it is larger than the sum of its proper divisors (28237698692).

61131079009 is an equidigital number, since it uses as much as digits as its factorization.

61131079009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The spelling of 61131079009 in words is "sixty-one billion, one hundred thirty-one million, seventy-nine thousand, nine".