503205345 has 32 divisors (see below), whose sum is σ = 905385600. Its totient is φ = 265136832.

The previous prime is 503205323. The next prime is 503205347. The reversal of 503205345 is 543502305.

It is not a de Polignac number, because 503205345 - 2⁸ = 503205089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (503205347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11250 + ... + 33659.

It is an arithmetic number, because the mean of its divisors is an integer number (28293300).

Almost surely, 2^503205345 is an apocalyptic number.

It is an amenable number.

503205345 is a deficient number, since it is larger than the sum of its proper divisors (402180255).

503205345 is a wasteful number, since it uses less digits than its factorization.

503205345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45006 (or 45000 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 503205345 is about 22432.2389653819. The cubic root of 503205345 is about 795.3929705490.

The spelling of 503205345 in words is "five hundred three million, two hundred five thousand, three hundred forty-five".