513253085 has 16 divisors (see below), whose sum is σ = 642933552. Its totient is φ = 392947200.

The previous prime is 513253067. The next prime is 513253087. The reversal of 513253085 is 580352315.

It can be written as a sum of positive squares in 8 ways, for example, as 107391769 + 405861316 = 10363^2 + 20146^2 .

It is not a de Polignac number, because 513253085 - 2⁶ = 513253021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513253087) 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, 11456 + ... + 34025.

It is an arithmetic number, because the mean of its divisors is an integer number (40183347).

Almost surely, 2^513253085 is an apocalyptic number.

It is an amenable number.

513253085 is a deficient number, since it is larger than the sum of its proper divisors (129680467).

513253085 is a wasteful number, since it uses less digits than its factorization.

513253085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45584.

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 513253085 is about 22655.0896047665. The cubic root of 513253085 is about 800.6521167228.

The spelling of 513253085 in words is "five hundred thirteen million, two hundred fifty-three thousand, eighty-five".