627493701025 has 9 divisors (see below), whose sum is σ = 778097100601. Its totient is φ = 501991792240.

The previous prime is 627493701001. The next prime is 627493701031. The reversal of 627493701025 is 520107394726.

The square root of 627493701025 is 792145.

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 210880253089 + 416613447936 = 459217^2 + 645456^2 .

It is not a de Polignac number, because 627493701025 - 2²³ = 627485312417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3881511 + ... + 4039939.

Almost surely, 2^627493701025 is an apocalyptic number.

627493701025 is the 792145-th square number.

627493701025 is the 396073-rd centered octagonal number.

It is an amenable number.

627493701025 is a deficient number, since it is larger than the sum of its proper divisors (150603399576).

627493701025 is an frugal number, since it uses more digits than its factorization.

627493701025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316868 (or 158434 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 627493701025 in words is "six hundred twenty-seven billion, four hundred ninety-three million, seven hundred one thousand, twenty-five".