5207181705625 has 45 divisors (see below), whose sum is σ = 6581661523041. Its totient is φ = 4118418240000.

The previous prime is 5207181705619. The next prime is 5207181705637. The reversal of 5207181705625 is 5265071817025.

The square root of 5207181705625 is 2281925.

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

5207181705625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 4973270186889 + 233911518736 = 2230083^2 + 483644^2 .

It is not a de Polignac number, because 5207181705625 - 2⁹ = 5207181705113 is a prime.

It is a super-2 number, since 2×5207181705625² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5533667655 + ... + 5533668595.

Almost surely, 2^{5207181705625} is an apocalyptic number.

5207181705625 is the 2281925-th square number.

5207181705625 is the 1140963-rd centered octagonal number.

It is an amenable number.

5207181705625 is a deficient number, since it is larger than the sum of its proper divisors (1374479817416).

5207181705625 is an frugal number, since it uses more digits than its factorization.

5207181705625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 49.

Multiplying 5207181705625 by its sum of digits (49), we get a square (255151903575625 = 15973475²).

The spelling of 5207181705625 in words is "five trillion, two hundred seven billion, one hundred eighty-one million, seven hundred five thousand, six hundred twenty-five".