34536513 has 16 divisors (see below), whose sum is σ = 50371776. Its totient is φ = 20874240.

The previous prime is 34536487. The next prime is 34536521. The reversal of 34536513 is 31563543.

It is a happy number.

It is not a de Polignac number, because 34536513 - 2⁹ = 34536001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34536583) 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, 13081 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (3148236).

Almost surely, 2^34536513 is an apocalyptic number.

34536513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34536513 is a deficient number, since it is larger than the sum of its proper divisors (15835263).

34536513 is a wasteful number, since it uses less digits than its factorization.

34536513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864.

The product of its digits is 16200, while the sum is 30.

The square root of 34536513 is about 5876.7774332537. Note that the first 3 decimals coincide. The cubic root of 34536513 is about 325.6563084655.

The spelling of 34536513 in words is "thirty-four million, five hundred thirty-six thousand, five hundred thirteen".