1056561 has 16 divisors (see below), whose sum is σ = 1556928. Its totient is φ = 632000.

The previous prime is 1056541. The next prime is 1056563. The reversal of 1056561 is 1656501.

It is a cyclic number.

It is not a de Polignac number, because 1056561 - 2⁹ = 1056049 is a prime.

It is a super-2 number, since 2×1056561² = 2232642293442, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1056563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (97308).

2^1056561 is an apocalyptic number.

1056561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056561 is a deficient number, since it is larger than the sum of its proper divisors (500367).

1056561 is a wasteful number, since it uses less digits than its factorization.

1056561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1056561 is about 1027.8915312425. The cubic root of 1056561 is about 101.8508971044.

It can be divided in two parts, 1056 and 561, that multiplied together give a triangular number (592416 = T₁₀₈₈).

The spelling of 1056561 in words is "one million, fifty-six thousand, five hundred sixty-one".