63131257 has 6 divisors (see below), whose sum is σ = 73438458. Its totient is φ = 54112464.

The previous prime is 63131249. The next prime is 63131303. The reversal of 63131257 is 75213136.

It can be written as a sum of positive squares in only one way, i.e., 38638656 + 24492601 = 6216^2 + 4949^2 .

It is not a de Polignac number, because 63131257 - 2³ = 63131249 is a prime.

It is a super-2 number, since 2×63131257² = 7971111220800098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63101257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 644148 + ... + 644245.

It is an arithmetic number, because the mean of its divisors is an integer number (12239743).

Almost surely, 2^63131257 is an apocalyptic number.

It is an amenable number.

63131257 is a deficient number, since it is larger than the sum of its proper divisors (10307201).

63131257 is a wasteful number, since it uses less digits than its factorization.

63131257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288407 (or 1288400 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 63131257 is about 7945.5180447847. The cubic root of 63131257 is about 398.1818672542.

The spelling of 63131257 in words is "sixty-three million, one hundred thirty-one thousand, two hundred fifty-seven".