9251147952 has 120 divisors (see below), whose sum is σ = 27069026400. Its totient is φ = 2943857664.

The previous prime is 9251147951. The next prime is 9251147959. The reversal of 9251147952 is 2597411529.

9251147952 is a `hidden beast` number, since 9 + 2 + 511 + 47 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9251147898 and 9251147907.

It is not an unprimeable number, because it can be changed into a prime (9251147951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1882074 + ... + 1886982.

It is an arithmetic number, because the mean of its divisors is an integer number (225575220).

Almost surely, 2^9251147952 is an apocalyptic number.

9251147952 is a gapful number since it is divisible by the number (92) 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 9251147952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534513200).

9251147952 is an abundant number, since it is smaller than the sum of its proper divisors (17817878448).

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

9251147952 is a wasteful number, since it uses less digits than its factorization.

9251147952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5506 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9251147952 is about 96182.8880414806. Note that the first 3 decimals coincide. The cubic root of 9251147952 is about 2099.2550609469.

The spelling of 9251147952 in words is "nine billion, two hundred fifty-one million, one hundred forty-seven thousand, nine hundred fifty-two".