52097502979600 has 1215 divisors, whose sum is σ = 152655964288149. Its totient is φ = 17073414758400.

The previous prime is 52097502979559. The next prime is 52097502979609. The reversal of 52097502979600 is 697920579025.

The square root of 52097502979600 is 7217860.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37941608424976 + 14155894554624 = 6159676^2 + 3762432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52097502979609) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 733767647565 + ... + 733767647635.

Almost surely, 2^{52097502979600} is an apocalyptic number.

52097502979600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52097502979600 is the 7217860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52097502979600

52097502979600 is an abundant number, since it is smaller than the sum of its proper divisors (100558461308549).

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

52097502979600 is a wasteful number, since it uses less digits than its factorization.

52097502979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 61.

The spelling of 52097502979600 in words is "fifty-two trillion, ninety-seven billion, five hundred two million, nine hundred seventy-nine thousand, six hundred".