631201257 has 24 divisors (see below), whose sum is σ = 934917984. Its totient is φ = 410143104.

The previous prime is 631201253. The next prime is 631201297. The reversal of 631201257 is 752102136.

It is a happy number.

631201257 is a `hidden beast` number, since 631 + 2 + 0 + 1 + 25 + 7 = 666.

It is not a de Polignac number, because 631201257 - 2² = 631201253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 631201257.

It is not an unprimeable number, because it can be changed into a prime (631201253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216433 + ... + 219329.

It is an arithmetic number, because the mean of its divisors is an integer number (38954916).

Almost surely, 2^631201257 is an apocalyptic number.

It is an amenable number.

631201257 is a deficient number, since it is larger than the sum of its proper divisors (303716727).

631201257 is a wasteful number, since it uses less digits than its factorization.

631201257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 631201257 is about 25123.7190121208. The cubic root of 631201257 is about 857.8064056999.

The spelling of 631201257 in words is "six hundred thirty-one million, two hundred one thousand, two hundred fifty-seven".