513923305 has 32 divisors (see below), whose sum is σ = 747452160. Its totient is φ = 331361280.

The previous prime is 513923287. The next prime is 513923323. The reversal of 513923305 is 503329315.

It is an interprime number because it is at equal distance from previous prime (513923287) and next prime (513923323).

It is not a de Polignac number, because 513923305 - 2⁵ = 513923273 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88285 + ... + 93925.

It is an arithmetic number, because the mean of its divisors is an integer number (23357880).

Almost surely, 2^513923305 is an apocalyptic number.

It is an amenable number.

513923305 is a deficient number, since it is larger than the sum of its proper divisors (233528855).

513923305 is a wasteful number, since it uses less digits than its factorization.

513923305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809.

The product of its (nonzero) digits is 12150, while the sum is 31.

The square root of 513923305 is about 22669.8765986937. The cubic root of 513923305 is about 801.0004696582. Note that the first 3 decimals are identical.

The spelling of 513923305 in words is "five hundred thirteen million, nine hundred twenty-three thousand, three hundred five".