9129802500 has 675 divisors, whose sum is σ = 36429786393. Its totient is φ = 1926288000.

The previous prime is 9129802489. The next prime is 9129802511. The reversal of 9129802500 is 52089219.

The square root of 9129802500 is 95550.

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

It is an interprime number because it is at equal distance from previous prime (9129802489) and next prime (9129802511).

It can be written as a sum of positive squares in 7 ways, for example, as 9017781444 + 112021056 = 94962^2 + 10584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 702292494 + ... + 702292506.

Almost surely, 2^9129802500 is an apocalyptic number.

9129802500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9129802500 is the 95550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9129802500

9129802500 is an abundant number, since it is smaller than the sum of its proper divisors (27299983893).

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

9129802500 is a wasteful number, since it uses less digits than its factorization.

9129802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 9129802500 is about 2090.0361325530.

Multiplying 9129802500 by its sum of digits (36), we get a square (328672890000 = 573300²).

9129802500 divided by its sum of digits (36) gives a square (253605625 = 15925²).

The spelling of 9129802500 in words is "nine billion, one hundred twenty-nine million, eight hundred two thousand, five hundred".