165165507 has 64 divisors (see below), whose sum is σ = 282240000. Its totient is φ = 94659840.

The previous prime is 165165503. The next prime is 165165509. The reversal of 165165507 is 705561561.

165165507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165165507 - 2² = 165165503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165165503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330744 + ... + 331242.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^165165507 is an apocalyptic number.

165165507 is a deficient number, since it is larger than the sum of its proper divisors (117074493).

165165507 is a wasteful number, since it uses less digits than its factorization.

165165507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 165165507 is about 12851.6733151757. The cubic root of 165165507 is about 548.6639826223.

The spelling of 165165507 in words is "one hundred sixty-five million, one hundred sixty-five thousand, five hundred seven".