637674117025 has 27 divisors (see below), whose sum is σ = 869193877363. Its totient is φ = 463731052400.

The previous prime is 637674117023. The next prime is 637674117061. The reversal of 637674117025 is 520711476736.

The square root of 637674117025 is 798545.

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

637674117025 is digitally balanced in base 2, 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 only one way, i.e., 229562682129 + 408111434896 = 479127^2 + 638836^2 .

It is not a de Polignac number, because 637674117025 - 2¹ = 637674117023 is a prime.

It is a super-2 number, since 2×637674117025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 637674117025.

It is not an unprimeable number, because it can be changed into a prime (637674117023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43912716 + ... + 43927234.

Almost surely, 2^637674117025 is an apocalyptic number.

637674117025 is the 798545-th square number.

637674117025 is the 399273-rd centered octagonal number.

It is an amenable number.

637674117025 is a deficient number, since it is larger than the sum of its proper divisors (231519760338).

637674117025 is an frugal number, since it uses more digits than its factorization.

637674117025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29070 (or 14535 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

Multiplying 637674117025 by its sum of digits (49), we get a square (31246031734225 = 5589815²).

The spelling of 637674117025 in words is "six hundred thirty-seven billion, six hundred seventy-four million, one hundred seventeen thousand, twenty-five".