10127637936025 has 27 divisors (see below), whose sum is σ = 13128496883229. Its totient is φ = 7749564630720.

The previous prime is 10127637935969. The next prime is 10127637936041. The reversal of 10127637936025 is 52063973672101.

The square root of 10127637936025 is 3182395.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5552710503561 + 4574927432464 = 2356419^2 + 2138908^2 .

It is not a de Polignac number, because 10127637936025 - 2¹⁷ = 10127637804953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 365961589 + ... + 365989261.

Almost surely, 2^{10127637936025} is an apocalyptic number.

10127637936025 is the 3182395-th square number.

10127637936025 is the 1591198-th centered octagonal number.

It is an amenable number.

10127637936025 is a deficient number, since it is larger than the sum of its proper divisors (3000858947204).

10127637936025 is an frugal number, since it uses more digits than its factorization.

10127637936025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55402 (or 27701 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 10127637936025 in words is "ten trillion, one hundred twenty-seven billion, six hundred thirty-seven million, nine hundred thirty-six thousand, twenty-five".