513253305 has 24 divisors (see below), whose sum is σ = 890180928. Its totient is φ = 273568416.

The previous prime is 513253277. The next prime is 513253319. The reversal of 513253305 is 503352315.

513253305 is a `hidden beast` number, since 5 + 1 + 325 + 330 + 5 = 666.

It is not a de Polignac number, because 513253305 - 2⁶ = 513253241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117694 + ... + 121976.

It is an arithmetic number, because the mean of its divisors is an integer number (37090872).

Almost surely, 2^513253305 is an apocalyptic number.

It is an amenable number.

513253305 is a deficient number, since it is larger than the sum of its proper divisors (376927623).

513253305 is a wasteful number, since it uses less digits than its factorization.

513253305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 513253305 is about 22655.0944601871. The cubic root of 513253305 is about 800.6522311195.

The spelling of 513253305 in words is "five hundred thirteen million, two hundred fifty-three thousand, three hundred five".