657129103225 has 243 divisors, whose sum is σ = 1065879242253. Its totient is φ = 400622302080.

The previous prime is 657129103177. The next prime is 657129103229. The reversal of 657129103225 is 522301921756.

It is a happy number.

The square root of 657129103225 is 810635.

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 4950107449 + 652178995776 = 70357^2 + 807576^2 .

It is not a de Polignac number, because 657129103225 - 2²⁵ = 657095548793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (657129103229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12398662299 + ... + 12398662351.

Almost surely, 2^657129103225 is an apocalyptic number.

657129103225 is the 810635-th square number.

657129103225 is the 405318-th centered octagonal number.

It is an amenable number.

657129103225 is a deficient number, since it is larger than the sum of its proper divisors (408750139028).

657129103225 is a wasteful number, since it uses less digits than its factorization.

657129103225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 657129103225 in words is "six hundred fifty-seven billion, one hundred twenty-nine million, one hundred three thousand, two hundred twenty-five".