4520541564 has 144 divisors (see below), whose sum is σ = 14380644096. Its totient is φ = 1163116800.

The previous prime is 4520541533. The next prime is 4520541569. The reversal of 4520541564 is 4651450254.

4520541564 is a `hidden beast` number, since 4 + 52 + 0 + 5 + 41 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4520541569) 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, 288984 + ... + 304224.

It is an arithmetic number, because the mean of its divisors is an integer number (99865584).

Almost surely, 2^4520541564 is an apocalyptic number.

4520541564 is a gapful number since it is divisible by the number (44) 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 4520541564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7190322048).

4520541564 is an abundant number, since it is smaller than the sum of its proper divisors (9860102532).

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

4520541564 is a wasteful number, since it uses less digits than its factorization.

4520541564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15376 (or 15371 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4520541564 is about 67234.9727745911. The cubic root of 4520541564 is about 1653.4719135524.

The spelling of 4520541564 in words is "four billion, five hundred twenty million, five hundred forty-one thousand, five hundred sixty-four".