6517505250 has 96 divisors (see below), whose sum is σ = 17795067264. Its totient is φ = 1721066400.

The previous prime is 6517505243. The next prime is 6517505257. The reversal of 6517505250 is 525057156.

It is a happy number.

6517505250 is a `hidden beast` number, since 65 + 1 + 75 + 0 + 525 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6517505243) and next prime (6517505257).

It is not an unprimeable number, because it can be changed into a prime (6517505257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217689 + ... + 245811.

It is an arithmetic number, because the mean of its divisors is an integer number (185365284).

Almost surely, 2^6517505250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6517505250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897533632).

6517505250 is an abundant number, since it is smaller than the sum of its proper divisors (11277562014).

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

6517505250 is a wasteful number, since it uses less digits than its factorization.

6517505250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28249 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 6517505250 is about 80731.0674399887. The cubic root of 6517505250 is about 1867.9294238903.

The spelling of 6517505250 in words is "six billion, five hundred seventeen million, five hundred five thousand, two hundred fifty".