10512605961 has 81 divisors (see below), whose sum is σ = 18149421927. Its totient is φ = 5856570720.

The previous prime is 10512605959. The next prime is 10512605993. The reversal of 10512605961 is 16950621501.

10512605961 = T₁₂₀₅₄ + T₁₂₀₅₅ + ... + T₁₂₁₉₆.

The square root of 10512605961 is 102531.

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

10512605961 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 60 + 596 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1555119225 + 8957486736 = 39435^2 + 94644^2 .

It is not a de Polignac number, because 10512605961 - 2¹ = 10512605959 is a prime.

It is a super-2 number, since 2×10512605961² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10512605921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43985680 + ... + 43985918.

Almost surely, 2^10512605961 is an apocalyptic number.

10512605961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10512605961 is the 102531-st square number.

10512605961 is the 51266-th centered octagonal number.

It is an amenable number.

10512605961 is a deficient number, since it is larger than the sum of its proper divisors (7636815966).

10512605961 is a wasteful number, since it uses less digits than its factorization.

10512605961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

Multiplying 10512605961 by its sum of digits (36), we get a square (378453814596 = 615186²).

The spelling of 10512605961 in words is "ten billion, five hundred twelve million, six hundred five thousand, nine hundred sixty-one".