5096085017401 has 81 divisors (see below), whose sum is σ = 6247394183439. Its totient is φ = 4144680036000.

The previous prime is 5096085017399. The next prime is 5096085017407. The reversal of 5096085017401 is 1047105806905.

The square root of 5096085017401 is 2257451.

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., 4896258137001 + 199826880400 = 2212749^2 + 447020^2 .

It is not a de Polignac number, because 5096085017401 - 2¹ = 5096085017399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5096085017407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49476553516 + ... + 49476553618.

Almost surely, 2^{5096085017401} is an apocalyptic number.

5096085017401 is the 2257451-st square number.

5096085017401 is the 1128726-th centered octagonal number.

It is an amenable number.

5096085017401 is a deficient number, since it is larger than the sum of its proper divisors (1151309166038).

5096085017401 is an equidigital number, since it uses as much as digits as its factorization.

5096085017401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 5096085017401 in words is "five trillion, ninety-six billion, eighty-five million, seventeen thousand, four hundred one".