629759025 has 81 divisors (see below), whose sum is σ = 1317639531. Its totient is φ = 286685280.

The previous prime is 629759003. The next prime is 629759069. The reversal of 629759025 is 520957926.

The square root of 629759025 is 25095.

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

It can be written as a sum of positive squares in only one way, i.e., 226713249 + 403045776 = 15057^2 + 20076^2 .

It is not a de Polignac number, because 629759025 - 2²⁵ = 596204593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2634856 + ... + 2635094.

Almost surely, 2^629759025 is an apocalyptic number.

629759025 is the 25095-th square number.

629759025 is the 12548-th centered octagonal number.

It is an amenable number.

629759025 is an abundant number, since it is smaller than the sum of its proper divisors (687880506).

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

629759025 is a wasteful number, since it uses less digits than its factorization.

629759025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The cubic root of 629759025 is about 857.1525734018.

The spelling of 629759025 in words is "six hundred twenty-nine million, seven hundred fifty-nine thousand, twenty-five".