180875601 has 9 divisors (see below), whose sum is σ = 261323049. Its totient is φ = 120556836.

The previous prime is 180875593. The next prime is 180875603. The reversal of 180875601 is 106578081.

The square root of 180875601 is 13449.

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

180875601 is a `hidden beast` number, since 18 + 0 + 87 + 560 + 1 = 666.

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

It is not a de Polignac number, because 180875601 - 2³ = 180875593 is a prime.

It is a super-2 number, since 2×180875601² = 65431966074222402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180875603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38106 + ... + 42588.

Almost surely, 2^180875601 is an apocalyptic number.

180875601 is the 13449-th square number.

180875601 is the 6725-th centered octagonal number.

It is an amenable number.

180875601 is a deficient number, since it is larger than the sum of its proper divisors (80447448).

180875601 is an frugal number, since it uses more digits than its factorization.

180875601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The cubic root of 180875601 is about 565.5356613618.

Multiplying 180875601 by its sum of digits (36), we get a square (6511521636 = 80694²).

It can be divided in two parts, 180875 and 601, that added together give a square (181476 = 426²).

The spelling of 180875601 in words is "one hundred eighty million, eight hundred seventy-five thousand, six hundred one".