541563540 has 96 divisors (see below), whose sum is σ = 1765774080. Its totient is φ = 121445376.

The previous prime is 541563527. The next prime is 541563541. The reversal of 541563540 is 45365145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541563541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10096 + ... + 34424.

It is an arithmetic number, because the mean of its divisors is an integer number (18393480).

Almost surely, 2^541563540 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 541563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882887040).

541563540 is an abundant number, since it is smaller than the sum of its proper divisors (1224210540).

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

541563540 is a wasteful number, since it uses less digits than its factorization.

541563540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24401 (or 24399 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 541563540 is about 23271.5177846225. The cubic root of 541563540 is about 815.1104721842.

The spelling of 541563540 in words is "five hundred forty-one million, five hundred sixty-three thousand, five hundred forty".