1056577040 has 20 divisors (see below), whose sum is σ = 2456541804. Its totient is φ = 422630784.

The previous prime is 1056577009. The next prime is 1056577063. The reversal of 1056577040 is 407756501.

1056577040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 439153936 + 617423104 = 20956^2 + 24848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1056577040² = 2232710082910323200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6603527 + ... + 6603686.

Almost surely, 2^1056577040 is an apocalyptic number.

1056577040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056577040 is an abundant number, since it is smaller than the sum of its proper divisors (1399964764).

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

1056577040 is a wasteful number, since it uses less digits than its factorization.

1056577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207226 (or 13207220 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 1056577040 is about 32505.0309952167. The cubic root of 1056577040 is about 1018.5141251245.

The spelling of 1056577040 in words is "one billion, fifty-six million, five hundred seventy-seven thousand, forty".