405117210213 has 16 divisors (see below), whose sum is σ = 601716523200. Its totient is φ = 269383844880.

The previous prime is 405117210137. The next prime is 405117210229. The reversal of 405117210213 is 312012711504.

405117210213 is a `hidden beast` number, since 40 + 511 + 7 + 2 + 102 + 1 + 3 = 666.

It is not a de Polignac number, because 405117210213 - 2¹⁴ = 405117193829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405117210283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19275283 + ... + 19296288.

It is an arithmetic number, because the mean of its divisors is an integer number (37607282700).

Almost surely, 2^405117210213 is an apocalyptic number.

It is an amenable number.

405117210213 is a deficient number, since it is larger than the sum of its proper divisors (196599312987).

405117210213 is a wasteful number, since it uses less digits than its factorization.

405117210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38571969 (or 38571963 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 405117210213 its reverse (312012711504), we get a palindrome (717129921717).

The spelling of 405117210213 in words is "four hundred five billion, one hundred seventeen million, two hundred ten thousand, two hundred thirteen".