52592248900 has 243 divisors, whose sum is σ = 129777342807. Its totient is φ = 18493171200.

The previous prime is 52592248879. The next prime is 52592248903. The reversal of 52592248900 is 984229525.

The square root of 52592248900 is 229330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1230185476 + 51362063424 = 35074^2 + 226632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52592248903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 740735865 + ... + 740735935.

Almost surely, 2^52592248900 is an apocalyptic number.

52592248900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52592248900 is the 229330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52592248900

52592248900 is an abundant number, since it is smaller than the sum of its proper divisors (77185093907).

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

52592248900 is a wasteful number, since it uses less digits than its factorization.

52592248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 52592248900 in words is "fifty-two billion, five hundred ninety-two million, two hundred forty-eight thousand, nine hundred".