10257631 has 2 divisors, whose sum is σ = 10257632. Its totient is φ = 10257630.

The previous prime is 10257629. The next prime is 10257649. The reversal of 10257631 is 13675201.

10257631 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (13675201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10257631 - 2¹ = 10257629 is a prime.

It is a super-2 number, since 2×10257631² = 210437987464322, which contains 22 as substring.

Together with 10257629, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10257596 and 10257605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10257671) 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, 5128815 + 5128816.

It is an arithmetic number, because the mean of its divisors is an integer number (5128816).

Almost surely, 2^10257631 is an apocalyptic number.

10257631 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257631 is an equidigital number, since it uses as much as digits as its factorization.

10257631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 10257631 is about 3202.7536589629. The cubic root of 10257631 is about 217.2779678077.

The spelling of 10257631 in words is "ten million, two hundred fifty-seven thousand, six hundred thirty-one".