12705572961 has 9 divisors (see below), whose sum is σ = 18352982739. Its totient is φ = 8470156536.

The previous prime is 12705572951. The next prime is 12705572977. The reversal of 12705572961 is 16927550721.

The square root of 12705572961 is 112719.

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

12705572961 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 557 + 2 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12271100625 + 434472336 = 110775^2 + 20844^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12705572961 - 2¹³ = 12705564769 is a prime.

It is a super-2 number, since 2×12705572961² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12705572951) 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, 319371 + ... + 356943.

Almost surely, 2^12705572961 is an apocalyptic number.

12705572961 is the 112719-th square number.

12705572961 is the 56360-th centered octagonal number.

It is an amenable number.

12705572961 is a deficient number, since it is larger than the sum of its proper divisors (5647409778).

12705572961 is an frugal number, since it uses more digits than its factorization.

12705572961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75152 (or 37576 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 12705572961 in words is "twelve billion, seven hundred five million, five hundred seventy-two thousand, nine hundred sixty-one".