634331009601 has 9 divisors (see below), whose sum is σ = 916259354049. Its totient is φ = 422885746836.

The previous prime is 634331009519. The next prime is 634331009659. The reversal of 634331009601 is 106900133436.

The square root of 634331009601 is 796449.

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

634331009601 is a `hidden beast` number, since 6 + 3 + 4 + 33 + 10 + 0 + 9 + 601 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 634331009601 - 2²⁷ = 634196791873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (634331005601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2256606 + ... + 2522088.

Almost surely, 2^634331009601 is an apocalyptic number.

634331009601 is the 796449-th square number.

634331009601 is the 398225-th centered octagonal number.

It is an amenable number.

634331009601 is a deficient number, since it is larger than the sum of its proper divisors (281928344448).

634331009601 is an frugal number, since it uses more digits than its factorization.

634331009601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530972 (or 265486 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 634331009601 by its sum of digits (36), we get a square (22835916345636 = 4778694²).

The spelling of 634331009601 in words is "six hundred thirty-four billion, three hundred thirty-one million, nine thousand, six hundred one".