1456872561 has 15 divisors (see below), whose sum is σ = 2176829083. Its totient is φ = 971019360.

The previous prime is 1456872553. The next prime is 1456872563. The reversal of 1456872561 is 1652786541.

The square root of 1456872561 is 38169.

It is a perfect power (a square), and thus also a powerful number.

1456872561 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 87 + 2 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1434970161 + 21902400 = 37881^2 + 4680^2 .

It is not a de Polignac number, because 1456872561 - 2³ = 1456872553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1456872563) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 341401 + ... + 345641.

Almost surely, 2^1456872561 is an apocalyptic number.

1456872561 is the 38169-th square number.

1456872561 is the 19085-th centered octagonal number.

It is an amenable number.

1456872561 is a deficient number, since it is larger than the sum of its proper divisors (719956522).

1456872561 is an frugal number, since it uses more digits than its factorization.

1456872561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494 (or 4244 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The cubic root of 1456872561 is about 1133.6365888501.

The spelling of 1456872561 in words is "one billion, four hundred fifty-six million, eight hundred seventy-two thousand, five hundred sixty-one".