164963513 has 16 divisors (see below), whose sum is σ = 200491200. Its totient is φ = 133654080.

The previous prime is 164963489. The next prime is 164963527. The reversal of 164963513 is 315369461.

164963513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164963513 - 2²⁶ = 97854649 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164963593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15743 + ... + 24036.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^164963513 is an apocalyptic number.

164963513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164963513 is a deficient number, since it is larger than the sum of its proper divisors (35527687).

164963513 is a wasteful number, since it uses less digits than its factorization.

164963513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39832.

The product of its digits is 58320, while the sum is 38.

The square root of 164963513 is about 12843.8122455913. The cubic root of 164963513 is about 548.4402231443.

The spelling of 164963513 in words is "one hundred sixty-four million, nine hundred sixty-three thousand, five hundred thirteen".