502793126456401 has 27 divisors (see below), whose sum is σ = 555917101379227. Its totient is φ = 454403984906960.

The previous prime is 502793126456389. The next prime is 502793126456419. The reversal of 502793126456401 is 104654621397205.

The square root of 502793126456401 is 22423049.

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

It can be written as a sum of positive squares in only one way, i.e., 457367197961025 + 45425928495376 = 21386145^2 + 6739876^2 .

It is not a de Polignac number, because 502793126456401 - 2¹⁹ = 502793125932113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (502793106456401) 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, 42671056356 + ... + 42671068138.

Almost surely, 2^{502793126456401} is an apocalyptic number.

502793126456401 is the 22423049-th square number.

502793126456401 is the 11211525-th centered octagonal number.

It is an amenable number.

502793126456401 is a deficient number, since it is larger than the sum of its proper divisors (53123974922826).

502793126456401 is an frugal number, since it uses more digits than its factorization.

502793126456401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 502793126456401 in words is "five hundred two trillion, seven hundred ninety-three billion, one hundred twenty-six million, four hundred fifty-six thousand, four hundred one".