165057516 has 108 divisors (see below), whose sum is σ = 465550176. Its totient is φ = 49014720.

The previous prime is 165057443. The next prime is 165057551. The reversal of 165057516 is 615750561.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449565 + ... + 449931.

Almost surely, 2^165057516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165057516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232775088).

165057516 is an abundant number, since it is smaller than the sum of its proper divisors (300492660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165057516 is a wasteful number, since it uses less digits than its factorization.

165057516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 416 counting only the distinct ones).

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

The square root of 165057516 is about 12847.4711908609. The cubic root of 165057516 is about 548.5443779677.

The spelling of 165057516 in words is "one hundred sixty-five million, fifty-seven thousand, five hundred sixteen".