405352013 has 16 divisors (see below), whose sum is σ = 457617600. Its totient is φ = 355850880.

The previous prime is 405352009. The next prime is 405352037. The reversal of 405352013 is 310253504.

It is not a de Polignac number, because 405352013 - 2² = 405352009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405352013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405352093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37283 + ... + 46911.

It is an arithmetic number, because the mean of its divisors is an integer number (28601100).

Almost surely, 2^405352013 is an apocalyptic number.

405352013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

405352013 is a deficient number, since it is larger than the sum of its proper divisors (52265587).

405352013 is a wasteful number, since it uses less digits than its factorization.

405352013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9772.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 405352013 is about 20133.3557312237. The cubic root of 405352013 is about 740.0779154628.

The spelling of 405352013 in words is "four hundred five million, three hundred fifty-two thousand, thirteen".