541146536 has 64 divisors (see below), whose sum is σ = 1210567680. Its totient is φ = 221944320.

The previous prime is 541146521. The next prime is 541146559. The reversal of 541146536 is 635641145.

It is a junction number, because it is equal to n+sod(n) for n = 541146496 and 541146505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119465 + ... + 123911.

It is an arithmetic number, because the mean of its divisors is an integer number (18915120).

Almost surely, 2^541146536 is an apocalyptic number.

541146536 is a gapful number since it is divisible by the number (56) 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 541146536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605283840).

541146536 is an abundant number, since it is smaller than the sum of its proper divisors (669421144).

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

541146536 is a wasteful number, since it uses less digits than its factorization.

541146536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4550 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 541146536 is about 23262.5565233059. The cubic root of 541146536 is about 814.9012067384.

The spelling of 541146536 in words is "five hundred forty-one million, one hundred forty-six thousand, five hundred thirty-six".