9252311040 has 624 divisors, whose sum is σ = 37536535296. Its totient is φ = 2064384000.

The previous prime is 9252311021. The next prime is 9252311059. The reversal of 9252311040 is 401132529.

9252311040 is a `hidden beast` number, since 92 + 523 + 1 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (9252311021) and next prime (9252311059).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9252310995 and 9252311013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91606990 + ... + 91607090.

It is an arithmetic number, because the mean of its divisors is an integer number (60154704).

Almost surely, 2^9252311040 is an apocalyptic number.

9252311040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9252311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768267648).

9252311040 is an abundant number, since it is smaller than the sum of its proper divisors (28284224256).

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

9252311040 is a wasteful number, since it uses less digits than its factorization.

9252311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9252311040 is about 96188.9340828767. The cubic root of 9252311040 is about 2099.3430325899.

Adding to 9252311040 its reverse (401132529), we get a palindrome (9653443569).

The spelling of 9252311040 in words is "nine billion, two hundred fifty-two million, three hundred eleven thousand, forty".