53768797263841 has 15 divisors (see below), whose sum is σ = 59146285737315. Its totient is φ = 48879918186000.

The previous prime is 53768797263833. The next prime is 53768797263851. The reversal of 53768797263841 is 14836279786735.

The square root of 53768797263841 is 7332721.

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

53768797263841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 51743982102241 + 2024815161600 = 7193329^2 + 1422960^2 .

It is not a de Polignac number, because 53768797263841 - 2³ = 53768797263833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53768797263851) 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 14 ways as a sum of consecutive naturals, for example, 887228941 + ... + 887289541.

It is an arithmetic number, because the mean of its divisors is an integer number (3943085715821).

Almost surely, 2^{53768797263841} is an apocalyptic number.

53768797263841 is the 7332721-st square number.

53768797263841 is the 3666361-st centered octagonal number.

It is an amenable number.

53768797263841 is a deficient number, since it is larger than the sum of its proper divisors (5377488473474).

53768797263841 is an frugal number, since it uses more digits than its factorization.

53768797263841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121246 (or 60612 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 76.

The spelling of 53768797263841 in words is "fifty-three trillion, seven hundred sixty-eight billion, seven hundred ninety-seven million, two hundred sixty-three thousand, eight hundred forty-one".