1056564441 has 12 divisors (see below), whose sum is σ = 1534141440. Its totient is φ = 700687320.

The previous prime is 1056564403. The next prime is 1056564461. The reversal of 1056564441 is 1444656501.

1056564441 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 5 + 644 + 4 + 1 = 666.

It is not a de Polignac number, because 1056564441 - 2¹⁷ = 1056433369 is a prime.

It is a super-2 number, since 2×1056564441² = 2232656835971284962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1056564396 and 1056564405.

It is not an unprimeable number, because it can be changed into a prime (1056564401) 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, 305601 + ... + 309038.

It is an arithmetic number, because the mean of its divisors is an integer number (127845120).

Almost surely, 2^1056564441 is an apocalyptic number.

It is an amenable number.

1056564441 is a deficient number, since it is larger than the sum of its proper divisors (477576999).

1056564441 is a wasteful number, since it uses less digits than its factorization.

1056564441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614836 (or 614833 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1056564441 is about 32504.8371938701. The cubic root of 1056564441 is about 1018.5100767337.

The spelling of 1056564441 in words is "one billion, fifty-six million, five hundred sixty-four thousand, four hundred forty-one".