8250347952 has 180 divisors, whose sum is σ = 29301256296. Its totient is φ = 2142927360.

The previous prime is 8250347947. The next prime is 8250347957. The reversal of 8250347952 is 2597430528.

8250347952 is a `hidden beast` number, since 8 + 250 + 347 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (8250347947) and next prime (8250347957).

It is a junction number, because it is equal to n+sod(n) for n = 8250347898 and 8250347907.

It is not an unprimeable number, because it can be changed into a prime (8250347957) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24468 + ... + 130764.

Almost surely, 2^8250347952 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 8250347952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650628148).

8250347952 is an abundant number, since it is smaller than the sum of its proper divisors (21050908344).

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

8250347952 is a wasteful number, since it uses less digits than its factorization.

8250347952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106336 (or 106320 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8250347952 is about 90831.4260154491. The cubic root of 8250347952 is about 2020.6484171349.

The spelling of 8250347952 in words is "eight billion, two hundred fifty million, three hundred forty-seven thousand, nine hundred fifty-two".