10577630914929 has 81 divisors (see below), whose sum is σ = 16750358141283. Its totient is φ = 6429304088064.

The previous prime is 10577630914919. The next prime is 10577630914931. The reversal of 10577630914929 is 92941903677501.

The square root of 10577630914929 is 3252327.

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

10577630914929 is a `hidden beast` number, since 1 + 0 + 57 + 7 + 6 + 3 + 0 + 91 + 492 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8226990002529 + 2350640912400 = 2868273^2 + 1533180^2 .

It is not a de Polignac number, because 10577630914929 - 2²³ = 10577622526321 is a prime.

It is a super-2 number, since 2×10577630914929² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10577630914919) 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, 11288826549 + ... + 11288827485.

Almost surely, 2^{10577630914929} is an apocalyptic number.

10577630914929 is the 3252327-th square number.

10577630914929 is the 1626164-th centered octagonal number.

It is an amenable number.

10577630914929 is a deficient number, since it is larger than the sum of its proper divisors (6172727226354).

10577630914929 is an frugal number, since it uses more digits than its factorization.

10577630914929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 10577630914929 in words is "ten trillion, five hundred seventy-seven billion, six hundred thirty million, nine hundred fourteen thousand, nine hundred twenty-nine".