634955579281 has 27 divisors (see below), whose sum is σ = 712160246619. Its totient is φ = 565922852928.

The previous prime is 634955579263. The next prime is 634955579287. The reversal of 634955579281 is 182975559436.

The square root of 634955579281 is 796841.

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., 494342579025 + 140613000256 = 703095^2 + 374984^2 .

It is not a de Polignac number, because 634955579281 - 2⁹ = 634955578769 is a prime.

It is a super-2 number, since 2×634955579281² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634955579287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 257378410 + ... + 257380876.

Almost surely, 2^634955579281 is an apocalyptic number.

634955579281 is the 796841-st square number.

634955579281 is the 398421-st centered octagonal number.

It is an amenable number.

634955579281 is a deficient number, since it is larger than the sum of its proper divisors (77204667338).

634955579281 is an frugal number, since it uses more digits than its factorization.

634955579281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 2503 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 64.

Multiplying 634955579281 by its sum of digits (64), we get a square (40637157073984 = 6374728²).

The spelling of 634955579281 in words is "six hundred thirty-four billion, nine hundred fifty-five million, five hundred seventy-nine thousand, two hundred eighty-one".