9525412890 has 256 divisors, whose sum is σ = 30092451840. Its totient is φ = 2125134144.

The previous prime is 9525412859. The next prime is 9525412891. The reversal of 9525412890 is 982145259.

It is a happy number.

9525412890 is a `hidden beast` number, since 9 + 525 + 41 + 2 + 89 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9525412891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6582147 + ... + 6583593.

It is an arithmetic number, because the mean of its divisors is an integer number (117548640).

Almost surely, 2^9525412890 is an apocalyptic number.

9525412890 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 9525412890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046225920).

9525412890 is an abundant number, since it is smaller than the sum of its proper divisors (20567038950).

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

9525412890 is a wasteful number, since it uses less digits than its factorization.

9525412890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 9525412890 is about 97598.2217563414. The cubic root of 9525412890 is about 2119.7986110168.

The spelling of 9525412890 in words is "nine billion, five hundred twenty-five million, four hundred twelve thousand, eight hundred ninety".