413012033 has 24 divisors (see below), whose sum is σ = 494477280. Its totient is φ = 343768320.

The previous prime is 413012023. The next prime is 413012099. The reversal of 413012033 is 330210314.

It is a happy number.

It is not a de Polignac number, because 413012033 - 2²² = 408817729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413012003) 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, 444113 + ... + 445041.

It is an arithmetic number, because the mean of its divisors is an integer number (20603220).

Almost surely, 2^413012033 is an apocalyptic number.

413012033 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

413012033 is a deficient number, since it is larger than the sum of its proper divisors (81465247).

413012033 is a wasteful number, since it uses less digits than its factorization.

413012033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413012033 is about 20322.6974833559. The cubic root of 413012033 is about 744.7106562229.

Adding to 413012033 its reverse (330210314), we get a palindrome (743222347).

It can be divided in two parts, 41301 and 2033, that added together give a palindrome (43334).

The spelling of 413012033 in words is "four hundred thirteen million, twelve thousand, thirty-three".