53310208315456 has 49 divisors (see below), whose sum is σ = 106889397174169. Its totient is φ = 26380309269504.

The previous prime is 53310208315451. The next prime is 53310208315537. The reversal of 53310208315456 is 65451380201335.

The square root of 53310208315456 is 7301384.

The cubic root of 53310208315456 is 37636.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 34692571201600 + 18617637113856 = 5890040^2 + 4314816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53310208315451) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 549589776400 + ... + 549589776496.

Almost surely, 2^{53310208315456} is an apocalyptic number.

53310208315456 is the 7301384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53310208315456

53310208315456 is an abundant number, since it is smaller than the sum of its proper divisors (53579188858713).

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

53310208315456 is an frugal number, since it uses more digits than its factorization.

53310208315456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 53310208315456 in words is "fifty-three trillion, three hundred ten billion, two hundred eight million, three hundred fifteen thousand, four hundred fifty-six".