1057284039 has 32 divisors (see below), whose sum is σ = 1637254144. Its totient is φ = 594397440.

The previous prime is 1057284023. The next prime is 1057284049. The reversal of 1057284039 is 9304827501.

It is not a de Polignac number, because 1057284039 - 2⁴ = 1057284023 is a prime.

It is a super-2 number, since 2×1057284039² = 2235699078248307042, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1057283988 and 1057284006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057284049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966777 + ... + 967869.

It is an arithmetic number, because the mean of its divisors is an integer number (51164192).

Almost surely, 2^1057284039 is an apocalyptic number.

1057284039 is a deficient number, since it is larger than the sum of its proper divisors (579970105).

1057284039 is a wasteful number, since it uses less digits than its factorization.

1057284039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1057284039 is about 32515.9044007698. The cubic root of 1057284039 is about 1018.7412509869.

The spelling of 1057284039 in words is "one billion, fifty-seven million, two hundred eighty-four thousand, thirty-nine".