75818173201 has 9 divisors (see below), whose sum is σ = 76216478331. Its totient is φ = 75421943112.

The previous prime is 75818173183. The next prime is 75818173237. The reversal of 75818173201 is 10237181857.

The square root of 75818173201 is 275351.

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

It can be written as a sum of positive squares in only one way, i.e., 3093028225 + 72725144976 = 55615^2 + 269676^2 .

It is not a de Polignac number, because 75818173201 - 2⁷ = 75818173073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75818173601) 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, 62504071 + ... + 62505283.

Almost surely, 2^75818173201 is an apocalyptic number.

75818173201 is the 275351-st square number.

75818173201 is the 137676-th centered octagonal number.

It is an amenable number.

75818173201 is a deficient number, since it is larger than the sum of its proper divisors (398305130).

75818173201 is an frugal number, since it uses more digits than its factorization.

75818173201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The spelling of 75818173201 in words is "seventy-five billion, eight hundred eighteen million, one hundred seventy-three thousand, two hundred one".