1012057431 has 48 divisors (see below), whose sum is σ = 1768929792. Its totient is φ = 502856640.

The previous prime is 1012057421. The next prime is 1012057433. The reversal of 1012057431 is 1347502101.

It is not a de Polignac number, because 1012057431 - 2⁹ = 1012056919 is a prime.

It is a super-2 number, since 2×1012057431² = 2048520487284639522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012057433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49785 + ... + 67101.

It is an arithmetic number, because the mean of its divisors is an integer number (36852704).

Almost surely, 2^1012057431 is an apocalyptic number.

1012057431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012057431 is a deficient number, since it is larger than the sum of its proper divisors (756872361).

1012057431 is a wasteful number, since it uses less digits than its factorization.

1012057431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17372 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1012057431 is about 31812.8500923762. The cubic root of 1012057431 is about 1004.0030974942.

Adding to 1012057431 its reverse (1347502101), we get a palindrome (2359559532).

The spelling of 1012057431 in words is "one billion, twelve million, fifty-seven thousand, four hundred thirty-one".