541303152 has 80 divisors (see below), whose sum is σ = 1554567168. Its totient is φ = 161176320.

The previous prime is 541303127. The next prime is 541303153. The reversal of 541303152 is 251303145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541303153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5353 + ... + 33335.

Almost surely, 2^541303152 is an apocalyptic number.

541303152 is a gapful number since it is divisible by the number (52) 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 541303152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777283584).

541303152 is an abundant number, since it is smaller than the sum of its proper divisors (1013264016).

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

541303152 is a wasteful number, since it uses less digits than its factorization.

541303152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28038 (or 28032 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 541303152 is about 23265.9225477951. The cubic root of 541303152 is about 814.9798140709.

Adding to 541303152 its reverse (251303145), we get a palindrome (792606297).

The spelling of 541303152 in words is "five hundred forty-one million, three hundred three thousand, one hundred fifty-two".