7521504564 has 96 divisors (see below), whose sum is σ = 20773380096. Its totient is φ = 2073576960.

The previous prime is 7521504563. The next prime is 7521504577. The reversal of 7521504564 is 4654051257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7521504563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266892 + ... + 293724.

It is an arithmetic number, because the mean of its divisors is an integer number (216389376).

Almost surely, 2^7521504564 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 7521504564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10386690048).

7521504564 is an abundant number, since it is smaller than the sum of its proper divisors (13251875532).

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

7521504564 is a wasteful number, since it uses less digits than its factorization.

7521504564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26965 (or 26963 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 7521504564 is about 86726.6081661217. The cubic root of 7521504564 is about 1959.3028691786.

The spelling of 7521504564 in words is "seven billion, five hundred twenty-one million, five hundred four thousand, five hundred sixty-four".