9253101312 has 576 divisors, whose sum is σ = 34504028160. Its totient is φ = 2380824576.

The previous prime is 9253101287. The next prime is 9253101313. The reversal of 9253101312 is 2131013529.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9253101312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9253101313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29562468 + ... + 29562780.

Almost surely, 2^9253101312 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 9253101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252014080).

9253101312 is an abundant number, since it is smaller than the sum of its proper divisors (25250926848).

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

9253101312 is a wasteful number, since it uses less digits than its factorization.

9253101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9253101312 is about 96193.0419105249. The cubic root of 9253101312 is about 2099.4028016133.

The spelling of 9253101312 in words is "nine billion, two hundred fifty-three million, one hundred one thousand, three hundred twelve".