64005296109561 has 27 divisors (see below), whose sum is σ = 92647374738789. Its totient is φ = 42580257685272.

The previous prime is 64005296109533. The next prime is 64005296109563. The reversal of 64005296109561 is 16590169250046.

The square root of 64005296109561 is 8000331.

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

64005296109561 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 529 + 6 + 109 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 64005296109561 - 2⁴⁵ = 28820924020729 is a prime.

It is a super-2 number, since 2×64005296109561² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64005296109498 and 64005296109507.

It is not an unprimeable number, because it can be changed into a prime (64005296109563) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12552516790 + ... + 12552521888.

Almost surely, 2^{64005296109561} is an apocalyptic number.

64005296109561 is the 8000331-st square number.

64005296109561 is the 4000166-th centered octagonal number.

It is an amenable number.

64005296109561 is a deficient number, since it is larger than the sum of its proper divisors (28642078629228).

64005296109561 is an frugal number, since it uses more digits than its factorization.

64005296109561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11250 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 64005296109561 in words is "sixty-four trillion, five billion, two hundred ninety-six million, one hundred nine thousand, five hundred sixty-one".