9953948250 has 112 divisors (see below), whose sum is σ = 27938417832. Its totient is φ = 2654337600.

The previous prime is 9953948227. The next prime is 9953948261. The reversal of 9953948250 is 528493599.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3493164609 + 6460783641 = 59103^2 + 80379^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 154942 + ... + 209558.

Almost surely, 2^9953948250 is an apocalyptic number.

9953948250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9953948250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969208916).

9953948250 is an abundant number, since it is smaller than the sum of its proper divisors (17984469582).

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

9953948250 is an equidigital number, since it uses as much as digits as its factorization.

9953948250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54652 (or 54627 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 9953948250 is about 99769.4755423722. The cubic root of 9953948250 is about 2151.1224173602.

The spelling of 9953948250 in words is "nine billion, nine hundred fifty-three million, nine hundred forty-eight thousand, two hundred fifty".