1057712256 has 240 divisors, whose sum is σ = 3353259690. Its totient is φ = 330891264.

The previous prime is 1057712251. The next prime is 1057712309. The reversal of 1057712256 is 6522177501.

1057712256 is a `hidden beast` number, since 10 + 577 + 1 + 22 + 56 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1035809856 + 21902400 = 32184^2 + 4680^2 .

It is a super-2 number, since 2×1057712256² = 2237510432985219072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1057712256.

It is not an unprimeable number, because it can be changed into a prime (1057712251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2996176 + ... + 2996528.

Almost surely, 2^1057712256 is an apocalyptic number.

1057712256 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 1057712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676629845).

1057712256 is an abundant number, since it is smaller than the sum of its proper divisors (2295547434).

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

1057712256 is an equidigital number, since it uses as much as digits as its factorization.

1057712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 1057712256 is about 32522.4884656756. The cubic root of 1057712256 is about 1018.8787679405.

Adding to 1057712256 its reverse (6522177501), we get a palindrome (7579889757).

The spelling of 1057712256 in words is "one billion, fifty-seven million, seven hundred twelve thousand, two hundred fifty-six".