7165791801 has 81 divisors (see below), whose sum is σ = 12560343471. Its totient is φ = 3925097568.

The previous prime is 7165791779. The next prime is 7165791827. The reversal of 7165791801 is 1081975617.

The square root of 7165791801 is 84651.

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

7165791801 is a `hidden beast` number, since 71 + 6 + 579 + 1 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3757567401 + 3408224400 = 61299^2 + 58380^2 .

It is not a de Polignac number, because 7165791801 - 2⁷ = 7165791673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7165791881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51552390 + ... + 51552528.

Almost surely, 2^7165791801 is an apocalyptic number.

7165791801 is the 84651-st square number.

7165791801 is the 42326-th centered octagonal number.

It is an amenable number.

7165791801 is a deficient number, since it is larger than the sum of its proper divisors (5394551670).

7165791801 is a wasteful number, since it uses less digits than its factorization.

7165791801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The cubic root of 7165791801 is about 1927.9157971905.

The spelling of 7165791801 in words is "seven billion, one hundred sixty-five million, seven hundred ninety-one thousand, eight hundred one".