52838966401 has 8 divisors (see below), whose sum is σ = 58441435304. Its totient is φ = 47456202240.

The previous prime is 52838966377. The next prime is 52838966407. The reversal of 52838966401 is 10466983825.

It can be written as a sum of positive squares in 4 ways, for example, as 295324225 + 52543642176 = 17185^2 + 229224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 52838966401 - 2¹⁹ = 52838442113 is a prime.

It is a super-3 number, since 3×52838966401³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52838966407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54925680 + ... + 54926641.

It is an arithmetic number, because the mean of its divisors is an integer number (7305179413).

Almost surely, 2^52838966401 is an apocalyptic number.

It is an amenable number.

52838966401 is a deficient number, since it is larger than the sum of its proper divisors (5602468903).

52838966401 is a wasteful number, since it uses less digits than its factorization.

52838966401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109852371.

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 52838966401 in words is "fifty-two billion, eight hundred thirty-eight million, nine hundred sixty-six thousand, four hundred one".