1057509376 has 156 divisors (see below), whose sum is σ = 2689269120. Its totient is φ = 411156480.

The previous prime is 1057509373. The next prime is 1057509403. The reversal of 1057509376 is 6739057501.

It is a super-2 number, since 2×1057509376² = 2236652160655818752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057509373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2207505 + ... + 2207983.

Almost surely, 2^1057509376 is an apocalyptic number.

1057509376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344634560).

1057509376 is an abundant number, since it is smaller than the sum of its proper divisors (1631759744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057509376 is an equidigital number, since it uses as much as digits as its factorization.

1057509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 43.

The square root of 1057509376 is about 32519.3692435754. The cubic root of 1057509376 is about 1018.8136199947.

The spelling of 1057509376 in words is "one billion, fifty-seven million, five hundred nine thousand, three hundred seventy-six".