1057082431 has 2 divisors, whose sum is σ = 1057082432. Its totient is φ = 1057082430.

The previous prime is 1057082417. The next prime is 1057082441. The reversal of 1057082431 is 1342807501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1057082431 - 2⁹ = 1057081919 is a prime.

It is a super-2 number, since 2×1057082431² = 2234846531857739522, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1057082393 and 1057082402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057082401) 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 as a sum of consecutive naturals, namely, 528541215 + 528541216.

It is an arithmetic number, because the mean of its divisors is an integer number (528541216).

Almost surely, 2^1057082431 is an apocalyptic number.

1057082431 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057082431 is an equidigital number, since it uses as much as digits as its factorization.

1057082431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1057082431 is about 32512.8041085355. The cubic root of 1057082431 is about 1018.6764940453.

Adding to 1057082431 its reverse (1342807501), we get a palindrome (2399889932).

The spelling of 1057082431 in words is "one billion, fifty-seven million, eighty-two thousand, four hundred thirty-one".