541535544 has 320 divisors, whose sum is σ = 1811224800. Its totient is φ = 149299200.

The previous prime is 541535537. The next prime is 541535567. The reversal of 541535544 is 445535145.

541535544 is a `hidden beast` number, since 54 + 1 + 53 + 554 + 4 = 666.

It is a super-3 number, since 3×541535544³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 541535499 and 541535508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4968162 + ... + 4968270.

Almost surely, 2^541535544 is an apocalyptic number.

541535544 is a gapful number since it is divisible by the number (54) 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 541535544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905612400).

541535544 is an abundant number, since it is smaller than the sum of its proper divisors (1269689256).

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

541535544 is a wasteful number, since it uses less digits than its factorization.

541535544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 541535544 is about 23270.9162690256. The cubic root of 541535544 is about 815.0964262940.

The spelling of 541535544 in words is "five hundred forty-one million, five hundred thirty-five thousand, five hundred forty-four".