628572025 has 24 divisors (see below), whose sum is σ = 845430264. Its totient is φ = 461721600.

The previous prime is 628571987. The next prime is 628572067. The reversal of 628572025 is 520275826.

It can be written as a sum of positive squares in 12 ways, for example, as 103978809 + 524593216 = 10197^2 + 22904^2 .

It is not a de Polignac number, because 628572025 - 2¹⁵ = 628539257 is a prime.

It is a super-2 number, since 2×628572025² = 790205581225201250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612 + ... + 35461.

It is an arithmetic number, because the mean of its divisors is an integer number (35226261).

Almost surely, 2^628572025 is an apocalyptic number.

It is an amenable number.

628572025 is a deficient number, since it is larger than the sum of its proper divisors (216858239).

628572025 is a wasteful number, since it uses less digits than its factorization.

628572025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36141 (or 36136 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 628572025 is about 25071.3387157527. The cubic root of 628572025 is about 856.6137006084.

The spelling of 628572025 in words is "six hundred twenty-eight million, five hundred seventy-two thousand, twenty-five".