541585350 has 72 divisors (see below), whose sum is σ = 1460578392. Its totient is φ = 143875200.

The previous prime is 541585339. The next prime is 541585351. The reversal of 541585350 is 53585145.

It is a happy number.

541585350 is a `hidden beast` number, since 5 + 41 + 585 + 35 + 0 = 666.

541585350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541585351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124309 + ... + 128591.

It is an arithmetic number, because the mean of its divisors is an integer number (20285811).

Almost surely, 2^541585350 is an apocalyptic number.

541585350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541585350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730289196).

541585350 is an abundant number, since it is smaller than the sum of its proper divisors (918993042).

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

541585350 is a wasteful number, since it uses less digits than its factorization.

541585350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4574 counting only the distinct ones).

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

The square root of 541585350 is about 23271.9863784766. The cubic root of 541585350 is about 815.1214141571.

The spelling of 541585350 in words is "five hundred forty-one million, five hundred eighty-five thousand, three hundred fifty".