6527872500 has 120 divisors (see below), whose sum is σ = 20153548800. Its totient is φ = 1638336000.

The previous prime is 6527872457. The next prime is 6527872543. The reversal of 6527872500 is 52787256.

It is an interprime number because it is at equal distance from previous prime (6527872457) and next prime (6527872543).

It is a super-2 number, since 2×6527872500² = 85226238752512500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101901 + ... + 153099.

It is an arithmetic number, because the mean of its divisors is an integer number (167946240).

Almost surely, 2^6527872500 is an apocalyptic number.

6527872500 is a gapful number since it is divisible by the number (60) 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 6527872500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076774400).

6527872500 is an abundant number, since it is smaller than the sum of its proper divisors (13625676300).

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

6527872500 is a wasteful number, since it uses less digits than its factorization.

6527872500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51243 (or 51226 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 6527872500 is about 80795.2504792206. The cubic root of 6527872500 is about 1868.9193237402.

The spelling of 6527872500 in words is "six billion, five hundred twenty-seven million, eight hundred seventy-two thousand, five hundred".