41052 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 12400.

The previous prime is 41051. The next prime is 41057. The reversal of 41052 is 25014.

Added to its reverse (25014) it gives a triangular number (66066 = T₃₆₃).

It is a super-4 number, since 4×41052⁴ = 11360495454444094464, which contains 4444 as substring.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁴¹⁰⁵² 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 41052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

41052 is an abundant number, since it is smaller than the sum of its proper divisors (63780).

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

41052 is a wasteful number, since it uses less digits than its factorization.

41052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 41052 is about 202.6129314728. The cubic root of 41052 is about 34.4967440742.

Adding to 41052 its reverse (25014), we get a palindrome (66066).

The spelling of 41052 in words is "forty-one thousand, fifty-two".