405033013 has 32 divisors (see below), whose sum is σ = 554711040. Its totient is φ = 285975360.

The previous prime is 405032993. The next prime is 405033029. The reversal of 405033013 is 310330504.

It is not a de Polignac number, because 405033013 - 2²⁵ = 371478581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405034013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27631 + ... + 39667.

It is an arithmetic number, because the mean of its divisors is an integer number (17334720).

Almost surely, 2^405033013 is an apocalyptic number.

It is an amenable number.

405033013 is a deficient number, since it is larger than the sum of its proper divisors (149678027).

405033013 is a wasteful number, since it uses less digits than its factorization.

405033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12097.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 405033013 is about 20125.4319953635. The cubic root of 405033013 is about 739.8837247305.

Adding to 405033013 its reverse (310330504), we get a palindrome (715363517).

The spelling of 405033013 in words is "four hundred five million, thirty-three thousand, thirteen".