5631257 has 2 divisors, whose sum is σ = 5631258. Its totient is φ = 5631256.

The previous prime is 5631221. The next prime is 5631259. The reversal of 5631257 is 7521365.

5631257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4145296 + 1485961 = 2036^2 + 1219^2 .

It is a cyclic number.

It is not a de Polignac number, because 5631257 - 2⁶ = 5631193 is a prime.

It is a super-2 number, since 2×5631257² = 63422110800098, which contains 22 as substring.

Together with 5631259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (5631259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2815628 + 2815629.

It is an arithmetic number, because the mean of its divisors is an integer number (2815629).

Almost surely, 2^5631257 is an apocalyptic number.

It is an amenable number.

5631257 is a deficient number, since it is larger than the sum of its proper divisors (1).

5631257 is an equidigital number, since it uses as much as digits as its factorization.

5631257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6300, while the sum is 29.

The square root of 5631257 is about 2373.0269699268. The cubic root of 5631257 is about 177.9105829564.

It can be divided in two parts, 56 and 31257, that added together give a palindrome (31313).

The spelling of 5631257 in words is "five million, six hundred thirty-one thousand, two hundred fifty-seven".