505200315 has 16 divisors (see below), whose sum is σ = 809920800. Its totient is φ = 268906752.

The previous prime is 505200307. The next prime is 505200323. The reversal of 505200315 is 513002505.

It is an interprime number because it is at equal distance from previous prime (505200307) and next prime (505200323).

It is not a de Polignac number, because 505200315 - 2³ = 505200307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505200291 and 505200300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25450 + ... + 40719.

It is an arithmetic number, because the mean of its divisors is an integer number (50620050).

Almost surely, 2^505200315 is an apocalyptic number.

505200315 is a deficient number, since it is larger than the sum of its proper divisors (304720485).

505200315 is a wasteful number, since it uses less digits than its factorization.

505200315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66686.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 505200315 is about 22476.6615626076. The cubic root of 505200315 is about 796.4427028879.

It can be divided in two parts, 505200 and 315, that added together give a triangular number (505515 = T₁₀₀₅).

The spelling of 505200315 in words is "five hundred five million, two hundred thousand, three hundred fifteen".