6310641385801 has 9 divisors (see below), whose sum is σ = 6346156683303. Its totient is φ = 6275323785960.

The previous prime is 6310641385799. The next prime is 6310641385813. The reversal of 6310641385801 is 1085831460136.

It is a happy number.

The square root of 6310641385801 is 2512099.

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

6310641385801 is digitally balanced in base 3, 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., 69538217401 + 6241103168400 = 263701^2 + 2498220^2 .

It is not a de Polignac number, because 6310641385801 - 2¹ = 6310641385799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6310641385501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 454682980 + ... + 454696858.

It is an arithmetic number, because the mean of its divisors is an integer number (705128520367).

Almost surely, 2^{6310641385801} is an apocalyptic number.

6310641385801 is the 2512099-th square number.

6310641385801 is the 1256050-th centered octagonal number.

It is an amenable number.

6310641385801 is a deficient number, since it is larger than the sum of its proper divisors (35515297502).

6310641385801 is an frugal number, since it uses more digits than its factorization.

6310641385801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28120 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 6310641385801 in words is "six trillion, three hundred ten billion, six hundred forty-one million, three hundred eighty-five thousand, eight hundred one".