165125801 has 2 divisors, whose sum is σ = 165125802. Its totient is φ = 165125800.

The previous prime is 165125773. The next prime is 165125813. The reversal of 165125801 is 108521561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163968025 + 1157776 = 12805^2 + 1076^2 .

It is an emirp because it is prime and its reverse (108521561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165125801 - 2²² = 160931497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (165125861) 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 as a sum of consecutive naturals, namely, 82562900 + 82562901.

It is an arithmetic number, because the mean of its divisors is an integer number (82562901).

Almost surely, 2^165125801 is an apocalyptic number.

It is an amenable number.

165125801 is a deficient number, since it is larger than the sum of its proper divisors (1).

165125801 is an equidigital number, since it uses as much as digits as its factorization.

165125801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

The square root of 165125801 is about 12850.1284429378. The cubic root of 165125801 is about 548.6200125899.

The spelling of 165125801 in words is "one hundred sixty-five million, one hundred twenty-five thousand, eight hundred one".