41513100 has 72 divisors (see below), whose sum is σ = 126450240. Its totient is φ = 10486080.

The previous prime is 41513089. The next prime is 41513107. The reversal of 41513100 is 131514.

It is a super-2 number, since 2×41513100² = 3446674943220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41513100.

It is not an unprimeable number, because it can be changed into a prime (41513107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059 + ... + 9341.

Almost surely, 2^41513100 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 41513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63225120).

41513100 is an abundant number, since it is smaller than the sum of its proper divisors (84937140).

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

41513100 is a wasteful number, since it uses less digits than its factorization.

41513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 41513100 is about 6443.0660403258. The cubic root of 41513100 is about 346.2542041395.

Adding to 41513100 its reverse (131514), we get a palindrome (41644614).

The spelling of 41513100 in words is "forty-one million, five hundred thirteen thousand, one hundred".