503514959061321 has 27 divisors (see below), whose sum is σ = 728573948224941. Its totient is φ = 335089407106584.

The previous prime is 503514959061307. The next prime is 503514959061341. The reversal of 503514959061321 is 123160959415305.

The square root of 503514959061321 is 22439139.

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

503514959061321 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 1 + 49 + 590 + 6 + 1 + 3 + 2 + 1 = 666.

It is not a de Polignac number, because 503514959061321 - 2¹⁹ = 503514958537033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (503514959061341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40323126540 + ... + 40323139026.

Almost surely, 2^{503514959061321} is an apocalyptic number.

503514959061321 is the 22439139-th square number.

503514959061321 is the 11219570-th centered octagonal number.

It is an amenable number.

503514959061321 is a deficient number, since it is larger than the sum of its proper divisors (225058989163620).

503514959061321 is an frugal number, since it uses more digits than its factorization.

503514959061321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26178 (or 13089 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 503514959061321 in words is "five hundred three trillion, five hundred fourteen billion, nine hundred fifty-nine million, sixty-one thousand, three hundred twenty-one".