172735513 has 12 divisors (see below), whose sum is σ = 179763948. Its totient is φ = 165972800.

The previous prime is 172735471. The next prime is 172735547. The reversal of 172735513 is 315537271.

172735513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40094224 + 132641289 = 6332^2 + 11517^2 .

It is not a de Polignac number, because 172735513 - 2²¹ = 170638361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172735613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246063 + ... + 246763.

It is an arithmetic number, because the mean of its divisors is an integer number (14980329).

Almost surely, 2^172735513 is an apocalyptic number.

It is an amenable number.

172735513 is a deficient number, since it is larger than the sum of its proper divisors (7028435).

172735513 is an equidigital number, since it uses as much as digits as its factorization.

172735513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1023 counting only the distinct ones).

The product of its digits is 22050, while the sum is 34.

The square root of 172735513 is about 13142.8883050873. Note that the first 3 decimals coincide. The cubic root of 172735513 is about 556.9213638804.

The spelling of 172735513 in words is "one hundred seventy-two million, seven hundred thirty-five thousand, five hundred thirteen".