8251737516 has 96 divisors (see below), whose sum is σ = 23408636160. Its totient is φ = 2492985600.

The previous prime is 8251737493. The next prime is 8251737541. The reversal of 8251737516 is 6157371528.

It is a happy number.

8251737516 is a `hidden beast` number, since 82 + 51 + 7 + 3 + 7 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390051 + ... + 410661.

It is an arithmetic number, because the mean of its divisors is an integer number (243839960).

Almost surely, 2^8251737516 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 8251737516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704318080).

8251737516 is an abundant number, since it is smaller than the sum of its proper divisors (15156898644).

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

8251737516 is a wasteful number, since it uses less digits than its factorization.

8251737516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20972 (or 20964 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 8251737516 is about 90839.0748301633. The cubic root of 8251737516 is about 2020.7618532669.

The spelling of 8251737516 in words is "eight billion, two hundred fifty-one million, seven hundred thirty-seven thousand, five hundred sixteen".