628633515679225 has 45 divisors (see below), whose sum is σ = 909377929008717. Its totient is φ = 431058769989120.

The previous prime is 628633515679187. The next prime is 628633515679319. The reversal of 628633515679225 is 522976515336826.

The square root of 628633515679225 is 25072565.

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 140969150079849 + 487664365599376 = 11873043^2 + 22083124^2 .

It is not a de Polignac number, because 628633515679225 - 2⁷ = 628633515679097 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

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, 6142727257 + ... + 6142829593.

Almost surely, 2^{628633515679225} is an apocalyptic number.

628633515679225 is the 25072565-th square number.

628633515679225 is the 12536283-rd centered octagonal number.

It is an amenable number.

628633515679225 is a deficient number, since it is larger than the sum of its proper divisors (280744413329492).

628633515679225 is an frugal number, since it uses more digits than its factorization.

628633515679225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204712 (or 102349 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 70.

The spelling of 628633515679225 in words is "six hundred twenty-eight trillion, six hundred thirty-three billion, five hundred fifteen million, six hundred seventy-nine thousand, two hundred twenty-five".