51653451820801 has 8 divisors (see below), whose sum is σ = 51697402625160. Its totient is φ = 51609502113792.

The previous prime is 51653451820781. The next prime is 51653451820811. The reversal of 51653451820801 is 10802815435615.

51653451820801 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 4 ways, for example, as 28557267210000 + 23096184610801 = 5343900^2 + 4805849^2 .

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 51653451820801 - 2¹¹ = 51653451818753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51653451820811) 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 7 ways as a sum of consecutive naturals, for example, 114150685 + ... + 114602293.

It is an arithmetic number, because the mean of its divisors is an integer number (6462175328145).

Almost surely, 2^{51653451820801} is an apocalyptic number.

It is an amenable number.

51653451820801 is a deficient number, since it is larger than the sum of its proper divisors (43950804359).

51653451820801 is a wasteful number, since it uses less digits than its factorization.

51653451820801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548675.

The product of its (nonzero) digits is 1152000, while the sum is 49.

The spelling of 51653451820801 in words is "fifty-one trillion, six hundred fifty-three billion, four hundred fifty-one million, eight hundred twenty thousand, eight hundred one".