541512 has 64 divisors (see below), whose sum is σ = 1584000. Its totient is φ = 171072.

The previous prime is 541511. The next prime is 541523. The reversal of 541512 is 215145.

541512 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×541512² = 586470492288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (541511) 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, 4914 + ... + 5022.

It is an arithmetic number, because the mean of its divisors is an integer number (24750).

2⁵⁴¹⁵¹² 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 541512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792000).

541512 is an abundant number, since it is smaller than the sum of its proper divisors (1042488).

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

541512 is a wasteful number, since it uses less digits than its factorization.

541512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 541512 is about 735.8749893834. The cubic root of 541512 is about 81.5084613645.

Adding to 541512 its reverse (215145), we get a palindrome (756657).

It can be divided in two parts, 5415 and 12, that multiplied together give a triangular number (64980 = T₃₆₀).

The spelling of 541512 in words is "five hundred forty-one thousand, five hundred twelve".