629257225 has 27 divisors (see below), whose sum is σ = 812811103. Its totient is φ = 483237440.

The previous prime is 629257201. The next prime is 629257231. The reversal of 629257225 is 522752926.

The square root of 629257225 is 25085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 105945849 + 523311376 = 10293^2 + 22876^2 .

It is not a de Polignac number, because 629257225 - 2¹¹ = 629255177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3637239 + ... + 3637411.

Almost surely, 2^629257225 is an apocalyptic number.

629257225 is the 25085-th square number.

629257225 is the 12543-rd centered octagonal number.

It is an amenable number.

629257225 is a deficient number, since it is larger than the sum of its proper divisors (183553878).

629257225 is an equidigital number, since it uses as much as digits as its factorization.

629257225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The cubic root of 629257225 is about 856.9248495496.

The spelling of 629257225 in words is "six hundred twenty-nine million, two hundred fifty-seven thousand, two hundred twenty-five".