503948193 has 24 divisors (see below), whose sum is σ = 815623488. Its totient is φ = 275448096.

The previous prime is 503948149. The next prime is 503948201. The reversal of 503948193 is 391849305.

It is not a de Polignac number, because 503948193 - 2¹⁷ = 503817121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (503948113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71146 + ... + 77907.

It is an arithmetic number, because the mean of its divisors is an integer number (33984312).

Almost surely, 2^503948193 is an apocalyptic number.

It is an amenable number.

503948193 is a deficient number, since it is larger than the sum of its proper divisors (311675295).

503948193 is a wasteful number, since it uses less digits than its factorization.

503948193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149093 (or 149086 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 503948193 is about 22448.7904573944. The cubic root of 503948193 is about 795.7841730501.

The spelling of 503948193 in words is "five hundred three million, nine hundred forty-eight thousand, one hundred ninety-three".