1152456561 has 48 divisors (see below), whose sum is σ = 1769414400. Its totient is φ = 721353600.

The previous prime is 1152456559. The next prime is 1152456563. The reversal of 1152456561 is 1656542511.

1152456561 is a `hidden beast` number, since 1 + 1 + 52 + 45 + 6 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (1152456559) and next prime (1152456563).

It is not a de Polignac number, because 1152456561 - 2¹ = 1152456559 is a prime.

It is a super-2 number, since 2×1152456561² = 2656312249983893442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1152456563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4160355 + ... + 4160631.

It is an arithmetic number, because the mean of its divisors is an integer number (36862800).

Almost surely, 2^1152456561 is an apocalyptic number.

It is an amenable number.

1152456561 is a deficient number, since it is larger than the sum of its proper divisors (616957839).

1152456561 is a wasteful number, since it uses less digits than its factorization.

1152456561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1152456561 is about 33947.8506094274. The cubic root of 1152456561 is about 1048.4350264656.

The spelling of 1152456561 in words is "one billion, one hundred fifty-two million, four hundred fifty-six thousand, five hundred sixty-one".