51605106001 has 8 divisors (see below), whose sum is σ = 51751804104. Its totient is φ = 51458611200.

The previous prime is 51605105989. The next prime is 51605106061. The reversal of 51605106001 is 10060150615.

51605106001 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 36334078225 + 15271027776 = 190615^2 + 123576^2 .

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 51605106001 - 2⁷ = 51605105873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51605106061) 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, 464961 + ... + 565153.

It is an arithmetic number, because the mean of its divisors is an integer number (6468975513).

Almost surely, 2^51605106001 is an apocalyptic number.

It is an amenable number.

51605106001 is a deficient number, since it is larger than the sum of its proper divisors (146698103).

51605106001 is a wasteful number, since it uses less digits than its factorization.

51605106001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101651.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 51605106001 its reverse (10060150615), we get a palindrome (61665256616).

The spelling of 51605106001 in words is "fifty-one billion, six hundred five million, one hundred six thousand, one".