2509977972681 has 9 divisors (see below), whose sum is σ = 3625530603591. Its totient is φ = 1673315479872.

The previous prime is 2509977972659. The next prime is 2509977972701. The reversal of 2509977972681 is 1862797799052.

The square root of 2509977972681 is 1584291.

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

2509977972681 is a `hidden beast` number, since 2 + 509 + 9 + 7 + 7 + 97 + 26 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1748226062025 + 761751910656 = 1322205^2 + 872784^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2509977972681 - 2⁷ = 2509977972553 is a prime.

It is a super-2 number, since 2×2509977972681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2509977972641) 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, 4488825 + ... + 5016921.

Almost surely, 2^{2509977972681} is an apocalyptic number.

2509977972681 is the 1584291-st square number.

2509977972681 is the 792146-th centered octagonal number.

It is an amenable number.

2509977972681 is a deficient number, since it is larger than the sum of its proper divisors (1115552630910).

2509977972681 is an frugal number, since it uses more digits than its factorization.

2509977972681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056200 (or 528100 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 2509977972681 in words is "two trillion, five hundred nine billion, nine hundred seventy-seven million, nine hundred seventy-two thousand, six hundred eighty-one".