503478874305 has 64 divisors (see below), whose sum is σ = 978023116800. Its totient is φ = 243716160960.

The previous prime is 503478874303. The next prime is 503478874319.

It is a happy number.

503478874305 is a `hidden beast` number, since 50 + 3 + 478 + 87 + 43 + 0 + 5 = 666.

503478874305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 503478874305 - 2¹ = 503478874303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (503478874303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645352 + ... + 1193078.

It is an arithmetic number, because the mean of its divisors is an integer number (15281611200).

Almost surely, 2^503478874305 is an apocalyptic number.

503478874305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

503478874305 is a deficient number, since it is larger than the sum of its proper divisors (474544242495).

503478874305 is a wasteful number, since it uses less digits than its factorization.

503478874305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548371 (or 548365 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 503478874305 in words is "five hundred three billion, four hundred seventy-eight million, eight hundred seventy-four thousand, three hundred five".