405100013 has 8 divisors (see below), whose sum is σ = 416329368. Its totient is φ = 393885504.

The previous prime is 405100001. The next prime is 405100027. The reversal of 405100013 is 310001504.

It can be written as a sum of positive squares in 4 ways, for example, as 284495689 + 120604324 = 16867^2 + 10982^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405100013 - 2¹² = 405095917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405100063) 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, 73295 + ... + 78627.

It is an arithmetic number, because the mean of its divisors is an integer number (52041171).

Almost surely, 2^405100013 is an apocalyptic number.

It is an amenable number.

405100013 is a deficient number, since it is larger than the sum of its proper divisors (11229355).

405100013 is a wasteful number, since it uses less digits than its factorization.

405100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 405100013 is about 20127.0964870743. The cubic root of 405100013 is about 739.9245193282.

Adding to 405100013 its reverse (310001504), we get a palindrome (715101517).

The spelling of 405100013 in words is "four hundred five million, one hundred thousand, thirteen".