650111627025 has 135 divisors (see below), whose sum is σ = 1359651115121. Its totient is φ = 296922971520.

The previous prime is 650111626993. The next prime is 650111627051. The reversal of 650111627025 is 520726111056.

The square root of 650111627025 is 806295.

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

650111627025 is a `hidden beast` number, since 6 + 5 + 0 + 1 + 1 + 1 + 627 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82759207041 + 567352419984 = 287679^2 + 753228^2 .

It is not a de Polignac number, because 650111627025 - 2⁵ = 650111626993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 592626277 + ... + 592627373.

Almost surely, 2^650111627025 is an apocalyptic number.

650111627025 is the 806295-th square number.

650111627025 is the 403148-th centered octagonal number.

It is an amenable number.

650111627025 is an abundant number, since it is smaller than the sum of its proper divisors (709539488096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

650111627025 is an frugal number, since it uses more digits than its factorization.

650111627025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 650111627025 by its sum of digits (36), we get a square (23404018572900 = 4837770²).

The spelling of 650111627025 in words is "six hundred fifty billion, one hundred eleven million, six hundred twenty-seven thousand, twenty-five".