10615386961 has 9 divisors (see below), whose sum is σ = 10689985371. Its totient is φ = 10541307672.

The previous prime is 10615386911. The next prime is 10615386989. The reversal of 10615386961 is 16968351601.

The square root of 10615386961 is 103031.

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., 10400940225 + 214446736 = 101985^2 + 14644^2 .

It is not a de Polignac number, because 10615386961 - 2⁷ = 10615386833 is a prime.

It is a super-2 number, since 2×10615386961² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10615386911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20296846 + ... + 20297368.

Almost surely, 2^10615386961 is an apocalyptic number.

10615386961 is the 103031-st square number.

10615386961 is the 51516-th centered octagonal number.

It is an amenable number.

10615386961 is a deficient number, since it is larger than the sum of its proper divisors (74598410).

10615386961 is an frugal number, since it uses more digits than its factorization.

10615386961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 10615386961 in words is "ten billion, six hundred fifteen million, three hundred eighty-six thousand, nine hundred sixty-one".