415572561 has 24 divisors (see below), whose sum is σ = 606178664. Its totient is φ = 274337280.

The previous prime is 415572557. The next prime is 415572569. The reversal of 415572561 is 165275514.

415572561 is a `hidden beast` number, since 41 + 5 + 57 + 2 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 415548225 = 156^2 + 20385^2 .

It is not a de Polignac number, because 415572561 - 2² = 415572557 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415572569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548595 + ... + 549351.

Almost surely, 2^415572561 is an apocalyptic number.

It is an amenable number.

415572561 is a deficient number, since it is larger than the sum of its proper divisors (190606103).

415572561 is a wasteful number, since it uses less digits than its factorization.

415572561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 415572561 is about 20385.5969007532. The cubic root of 415572561 is about 746.2464673284.

The spelling of 415572561 in words is "four hundred fifteen million, five hundred seventy-two thousand, five hundred sixty-one".