541506564 has 18 divisors (see below), whose sum is σ = 1368808350. Its totient is φ = 180502176.

The previous prime is 541506533. The next prime is 541506571. The reversal of 541506564 is 465605145.

541506564 is a `hidden beast` number, since 5 + 41 + 50 + 6 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341510400 + 199996164 = 18480^2 + 14142^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 15041849 = 541506564 / (5 + 4 + 1 + 5 + 0 + 6 + 5 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7520889 + ... + 7520960.

Almost surely, 2^541506564 is an apocalyptic number.

It is an amenable number.

541506564 is an abundant number, since it is smaller than the sum of its proper divisors (827301786).

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

541506564 is a wasteful number, since it uses less digits than its factorization.

541506564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041859 (or 15041854 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 541506564 is about 23270.2935950538. The cubic root of 541506564 is about 815.0818862107.

The spelling of 541506564 in words is "five hundred forty-one million, five hundred six thousand, five hundred sixty-four".