13670052561 has 45 divisors (see below), whose sum is σ = 22464910699. Its totient is φ = 8277865200.

The previous prime is 13670052551. The next prime is 13670052581. The reversal of 13670052561 is 16525007631.

The square root of 13670052561 is 116919.

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

13670052561 is a `hidden beast` number, since 1 + 3 + 6 + 70 + 0 + 525 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12537056961 + 1132995600 = 111969^2 + 33660^2 .

It is not a de Polignac number, because 13670052561 - 2¹⁵ = 13670019793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13670052541) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11574391 + ... + 11575571.

Almost surely, 2^13670052561 is an apocalyptic number.

13670052561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13670052561 is the 116919-th square number.

13670052561 is the 58460-th centered octagonal number.

It is an amenable number.

13670052561 is a deficient number, since it is larger than the sum of its proper divisors (8794858138).

13670052561 is an frugal number, since it uses more digits than its factorization.

13670052561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 13670052561 by its sum of digits (36), we get a square (492121892196 = 701514²).

The spelling of 13670052561 in words is "thirteen billion, six hundred seventy million, fifty-two thousand, five hundred sixty-one".