503618734921 has 9 divisors (see below), whose sum is σ = 506379394101. Its totient is φ = 500873056512.

The previous prime is 503618734909. The next prime is 503618734967. The reversal of 503618734921 is 129437816305.

The square root of 503618734921 is 709661.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1192942521 + 502425792400 = 34539^2 + 708820^2 .

It is not a de Polignac number, because 503618734921 - 2⁷ = 503618734793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503618734991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136962735 + ... + 136966411.

It is a 1-persistent number, because it is pandigital, but 2⋅503618734921 = 1007237469842 is not.

Almost surely, 2^503618734921 is an apocalyptic number.

503618734921 is the 709661-st square number.

503618734921 is the 354831-st centered octagonal number.

It is an amenable number.

503618734921 is a deficient number, since it is larger than the sum of its proper divisors (2760659180).

503618734921 is an frugal number, since it uses more digits than its factorization.

503618734921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 503618734921 by its sum of digits (49), we get a square (24677318011129 = 4967627²).

The spelling of 503618734921 in words is "five hundred three billion, six hundred eighteen million, seven hundred thirty-four thousand, nine hundred twenty-one".