45975507561 has 9 divisors (see below), whose sum is σ = 66409995639. Its totient is φ = 30649909536.

The previous prime is 45975507551. The next prime is 45975507601. The reversal of 45975507561 is 16570557954.

The square root of 45975507561 is 214419.

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

45975507561 is a `hidden beast` number, since 4 + 5 + 9 + 75 + 5 + 0 + 7 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40238354025 + 5737153536 = 200595^2 + 75744^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 45975507561 - 2⁹ = 45975507049 is a prime.

It is a super-2 number, since 2×45975507561² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45975507498 and 45975507507.

It is not an unprimeable number, because it can be changed into a prime (45975507551) 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 8 ways as a sum of consecutive naturals, for example, 607521 + ... + 678993.

Almost surely, 2^45975507561 is an apocalyptic number.

45975507561 is the 214419-th square number.

45975507561 is the 107210-th centered octagonal number.

It is an amenable number.

45975507561 is a deficient number, since it is larger than the sum of its proper divisors (20434488078).

45975507561 is an frugal number, since it uses more digits than its factorization.

45975507561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142952 (or 71476 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

It can be divided in two parts, 45975 and 507561, that added together give a square (553536 = 744²).

The spelling of 45975507561 in words is "forty-five billion, nine hundred seventy-five million, five hundred seven thousand, five hundred sixty-one".