631004205213 has 80 divisors (see below), whose sum is σ = 1009812711600. Its totient is φ = 391962654720.

The previous prime is 631004205199. The next prime is 631004205257. The reversal of 631004205213 is 312502400136.

631004205213 is a `hidden beast` number, since 631 + 0 + 0 + 4 + 2 + 0 + 5 + 21 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 151291437444 + 479712767769 = 388962^2 + 692613^2 .

It is not a de Polignac number, because 631004205213 - 2¹⁸ = 631003943069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631004205263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7552773 + ... + 7635861.

It is an arithmetic number, because the mean of its divisors is an integer number (12622658895).

Almost surely, 2^631004205213 is an apocalyptic number.

It is an amenable number.

631004205213 is a deficient number, since it is larger than the sum of its proper divisors (378808506387).

631004205213 is a wasteful number, since it uses less digits than its factorization.

631004205213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83244 (or 83235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 631004205213 its reverse (312502400136), we get a palindrome (943506605349).

The spelling of 631004205213 in words is "six hundred thirty-one billion, four million, two hundred five thousand, two hundred thirteen".