6310897622500 has 135 divisors (see below), whose sum is σ = 14113752441789. Its totient is φ = 2468338104000.

The previous prime is 6310897622461. The next prime is 6310897622501. The reversal of 6310897622500 is 52267980136.

The square root of 6310897622500 is 2512150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5020637899684 + 1290259722816 = 2240678^2 + 1135896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6310897622501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5903551966 + ... + 5903553034.

Almost surely, 2^{6310897622500} is an apocalyptic number.

6310897622500 is the 2512150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6310897622500

6310897622500 is an abundant number, since it is smaller than the sum of its proper divisors (7802854819289).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6310897622500 is an frugal number, since it uses more digits than its factorization.

6310897622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 6310897622500 by its sum of digits (49), we get a square (309233983502500 = 17585050²).

The spelling of 6310897622500 in words is "six trillion, three hundred ten billion, eight hundred ninety-seven million, six hundred twenty-two thousand, five hundred".