6521883540 has 96 divisors (see below), whose sum is σ = 18872663040. Its totient is φ = 1681075200.

The previous prime is 6521883527. The next prime is 6521883569. The reversal of 6521883540 is 453881256.

It is a junction number, because it is equal to n+sod(n) for n = 6521883492 and 6521883501.

It is a congruent number.

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, 2195176 + ... + 2198144.

It is an arithmetic number, because the mean of its divisors is an integer number (196590240).

Almost surely, 2^6521883540 is an apocalyptic number.

6521883540 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 6521883540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436331520).

6521883540 is an abundant number, since it is smaller than the sum of its proper divisors (12350779500).

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

6521883540 is a wasteful number, since it uses less digits than its factorization.

6521883540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 6521883540 is about 80758.1793999840. The cubic root of 6521883540 is about 1868.3476056820.

The spelling of 6521883540 in words is "six billion, five hundred twenty-one million, eight hundred eighty-three thousand, five hundred forty".