1057830735 has 32 divisors (see below), whose sum is σ = 1828689408. Its totient is φ = 519073920.

The previous prime is 1057830713. The next prime is 1057830749. The reversal of 1057830735 is 5370387501.

It is not a de Polignac number, because 1057830735 - 2¹² = 1057826639 is a prime.

It is a super-2 number, since 2×1057830735² = 2238011727821280450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1057830693 and 1057830702.

It is a congruent number.

It is an unprimeable number.

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, 51924 + ... + 69366.

It is an arithmetic number, because the mean of its divisors is an integer number (57146544).

Almost surely, 2^1057830735 is an apocalyptic number.

1057830735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057830735 is a deficient number, since it is larger than the sum of its proper divisors (770858673).

1057830735 is a wasteful number, since it uses less digits than its factorization.

1057830735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17775.

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 1057830735 is about 32524.3099081287. The cubic root of 1057830735 is about 1018.9168095502.

The spelling of 1057830735 in words is "one billion, fifty-seven million, eight hundred thirty thousand, seven hundred thirty-five".