541575552 has 128 divisors (see below), whose sum is σ = 1659548160. Its totient is φ = 153280512.

The previous prime is 541575533. The next prime is 541575589. The reversal of 541575552 is 255575145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 541575552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302853 + ... + 304635.

It is an arithmetic number, because the mean of its divisors is an integer number (12965220).

Almost surely, 2^541575552 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 541575552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829774080).

541575552 is an abundant number, since it is smaller than the sum of its proper divisors (1117972608).

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

541575552 is a wasteful number, since it uses less digits than its factorization.

541575552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1908 counting only the distinct ones).

The product of its digits is 175000, while the sum is 39.

The square root of 541575552 is about 23271.7758669166. The cubic root of 541575552 is about 815.1164985836.

The spelling of 541575552 in words is "five hundred forty-one million, five hundred seventy-five thousand, five hundred fifty-two".