9513822500 has 480 divisors, whose sum is σ = 28214968320. Its totient is φ = 2721600000.

The previous prime is 9513822457. The next prime is 9513822509. The reversal of 9513822500 is 52283159.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (9513822509) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133997465 + ... + 133997535.

It is an arithmetic number, because the mean of its divisors is an integer number (58781184).

Almost surely, 2^9513822500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9513822500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107484160).

9513822500 is an abundant number, since it is smaller than the sum of its proper divisors (18701145820).

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

9513822500 is a wasteful number, since it uses less digits than its factorization.

9513822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 9513822500 is about 97538.8256029362. The cubic root of 9513822500 is about 2118.9384815631.

The spelling of 9513822500 in words is "nine billion, five hundred thirteen million, eight hundred twenty-two thousand, five hundred".