9252364732900 has 81 divisors (see below), whose sum is σ = 20637446402097. Its totient is φ = 3600482313600.

The previous prime is 9252364732861. The next prime is 9252364732903. The reversal of 9252364732900 is 92374632529.

The square root of 9252364732900 is 3041770.

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 45218321316 + 9207146411584 = 212646^2 + 3034328^2 .

It is a super-2 number, since 2×9252364732900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9252364732903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1125450790 + ... + 1125459010.

Almost surely, 2^{9252364732900} is an apocalyptic number.

9252364732900 is the 3041770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9252364732900

9252364732900 is an abundant number, since it is smaller than the sum of its proper divisors (11385081669197).

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

9252364732900 is an frugal number, since it uses more digits than its factorization.

9252364732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16530 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 9252364732900 in words is "nine trillion, two hundred fifty-two billion, three hundred sixty-four million, seven hundred thirty-two thousand, nine hundred".