10813738980625 has 405 divisors, whose sum is σ = 17755242591933. Its totient is φ = 6563170152000.

The previous prime is 10813738980619. The next prime is 10813738980689. The reversal of 10813738980625 is 52608983731801.

The square root of 10813738980625 is 3288425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 847797136081 + 9965941844544 = 920759^2 + 3156888^2 .

It is not a de Polignac number, because 10813738980625 - 2⁵ = 10813738980593 is a prime.

It is a super-2 number, since 2×10813738980625² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 251482301854 + ... + 251482301896.

Almost surely, 2^{10813738980625} is an apocalyptic number.

10813738980625 is the 3288425-th square number.

10813738980625 is the 1644213-rd centered octagonal number.

It is an amenable number.

10813738980625 is a deficient number, since it is larger than the sum of its proper divisors (6941503611308).

10813738980625 is an frugal number, since it uses more digits than its factorization.

10813738980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 10813738980625 in words is "ten trillion, eight hundred thirteen billion, seven hundred thirty-eight million, nine hundred eighty thousand, six hundred twenty-five".