1053456561 has 12 divisors (see below), whose sum is σ = 1611169092. Its totient is φ = 660992256.

The previous prime is 1053456559. The next prime is 1053456647. The reversal of 1053456561 is 1656543501.

1053456561 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 565 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 368640000 + 684816561 = 19200^2 + 26169^2 .

It is not a de Polignac number, because 1053456561 - 2¹ = 1053456559 is a prime.

It is a super-2 number, since 2×1053456561² = 2219541451827893442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053456661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3442516 + ... + 3442821.

It is an arithmetic number, because the mean of its divisors is an integer number (134264091).

Almost surely, 2^1053456561 is an apocalyptic number.

It is an amenable number.

1053456561 is a deficient number, since it is larger than the sum of its proper divisors (557712531).

1053456561 is a wasteful number, since it uses less digits than its factorization.

1053456561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885360 (or 6885357 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1053456561 is about 32456.9955633605. The cubic root of 1053456561 is about 1017.5104482101.

The spelling of 1053456561 in words is "one billion, fifty-three million, four hundred fifty-six thousand, five hundred sixty-one".