10529979570049 has 9 divisors (see below), whose sum is σ = 10550309630049. Its totient is φ = 10509688628820.

The previous prime is 10529979570043. The next prime is 10529979570053. The reversal of 10529979570049 is 94007597992501.

The square root of 10529979570049 is 3244993.

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

It is not a de Polignac number, because 10529979570049 - 2²⁷ = 10529845352321 is a prime.

It is a super-2 number, since 2×10529979570049² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10529979570043) 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, 1852888162 + ... + 1852893844.

It is an arithmetic number, because the mean of its divisors is an integer number (1172256625561).

Almost surely, 2^{10529979570049} is an apocalyptic number.

10529979570049 is the 3244993-rd square number.

10529979570049 is the 1622497-th centered octagonal number.

It is an amenable number.

10529979570049 is a deficient number, since it is larger than the sum of its proper divisors (20330060000).

10529979570049 is an frugal number, since it uses more digits than its factorization.

10529979570049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12508 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 67.

The spelling of 10529979570049 in words is "ten trillion, five hundred twenty-nine billion, nine hundred seventy-nine million, five hundred seventy thousand, forty-nine".