541551564 has 18 divisors (see below), whose sum is σ = 1368922100. Its totient is φ = 180517176.

The previous prime is 541551551. The next prime is 541551599. The reversal of 541551564 is 465155145.

541551564 is a `hidden beast` number, since 5 + 41 + 5 + 51 + 564 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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: 15043099 = 541551564 / (5 + 4 + 1 + 5 + 5 + 1 + 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, 7521514 + ... + 7521585.

Almost surely, 2^541551564 is an apocalyptic number.

It is an amenable number.

541551564 is an abundant number, since it is smaller than the sum of its proper divisors (827370536).

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

541551564 is a wasteful number, since it uses less digits than its factorization.

541551564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15043109 (or 15043104 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 541551564 is about 23271.2604729525. The cubic root of 541551564 is about 815.1044637572.

The spelling of 541551564 in words is "five hundred forty-one million, five hundred fifty-one thousand, five hundred sixty-four".