541506150 has 72 divisors (see below), whose sum is σ = 1478771424. Its totient is φ = 142027200.

The previous prime is 541506143. The next prime is 541506157. The reversal of 541506150 is 51605145.

It is a happy number.

541506150 is a `hidden beast` number, since 5 + 4 + 1 + 506 + 150 = 666.

It is an interprime number because it is at equal distance from previous prime (541506143) and next prime (541506157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541506157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17587 + ... + 37313.

It is an arithmetic number, because the mean of its divisors is an integer number (20538492).

Almost surely, 2^541506150 is an apocalyptic number.

541506150 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 541506150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739385712).

541506150 is an abundant number, since it is smaller than the sum of its proper divisors (937265274).

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

541506150 is a wasteful number, since it uses less digits than its factorization.

541506150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19806 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 541506150 is about 23270.2846995906. The cubic root of 541506150 is about 815.0816784914.

The spelling of 541506150 in words is "five hundred forty-one million, five hundred six thousand, one hundred fifty".