631165129 has 27 divisors (see below), whose sum is σ = 762451893. Its totient is φ = 520950528.

The previous prime is 631165099. The next prime is 631165141. The reversal of 631165129 is 921561136.

The square root of 631165129 is 25123.

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

631165129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 97555129 + 533610000 = 9877^2 + 23100^2 .

It is not a de Polignac number, because 631165129 - 2⁵ = 631165097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 631165094 and 631165103.

It is not an unprimeable number, because it can be changed into a prime (631165159) 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, 6506809 + ... + 6506905.

It is an arithmetic number, because the mean of its divisors is an integer number (28238959).

Almost surely, 2^631165129 is an apocalyptic number.

631165129 is the 25123-rd square number.

631165129 is the 12562-nd centered octagonal number.

It is an amenable number.

631165129 is a deficient number, since it is larger than the sum of its proper divisors (131286764).

631165129 is an frugal number, since it uses more digits than its factorization.

631165129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The cubic root of 631165129 is about 857.7900393293.

The spelling of 631165129 in words is "six hundred thirty-one million, one hundred sixty-five thousand, one hundred twenty-nine".