165210513 has 24 divisors (see below), whose sum is σ = 245003328. Its totient is φ = 98908992.

The previous prime is 165210503. The next prime is 165210523. The reversal of 165210513 is 315012561.

165210513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165210503) and next prime (165210523).

It is not a de Polignac number, because 165210513 - 2¹⁴ = 165194129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165210503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14356 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (10208472).

Almost surely, 2^165210513 is an apocalyptic number.

165210513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165210513 is a deficient number, since it is larger than the sum of its proper divisors (79792815).

165210513 is a wasteful number, since it uses less digits than its factorization.

165210513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8873 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 165210513 is about 12853.4241741257. The cubic root of 165210513 is about 548.7138133024.

The spelling of 165210513 in words is "one hundred sixty-five million, two hundred ten thousand, five hundred thirteen".