634627323225 has 243 divisors, whose sum is σ = 1377960251421. Its totient is φ = 289082908800.

The previous prime is 634627323217. The next prime is 634627323263. The reversal of 634627323225 is 522323726436.

The square root of 634627323225 is 796635.

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

634627323225 is a `hidden beast` number, since 6 + 346 + 2 + 73 + 232 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 903062601 + 633724260624 = 30051^2 + 796068^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 634627323225 - 2³ = 634627323217 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 polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2258460085 + ... + 2258460365.

Almost surely, 2^634627323225 is an apocalyptic number.

634627323225 is the 796635-th square number.

634627323225 is the 398318-th centered octagonal number.

It is an amenable number.

634627323225 is an abundant number, since it is smaller than the sum of its proper divisors (743332928196).

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

634627323225 is an frugal number, since it uses more digits than its factorization.

634627323225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 296 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The spelling of 634627323225 in words is "six hundred thirty-four billion, six hundred twenty-seven million, three hundred twenty-three thousand, two hundred twenty-five".