412505402013 has 12 divisors (see below), whose sum is σ = 611944951228. Its totient is φ = 267571071360.

The previous prime is 412505401967. The next prime is 412505402021. The reversal of 412505402013 is 310204505214.

412505402013 is a `hidden beast` number, since 4 + 1 + 250 + 5 + 402 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365815699929 + 46689702084 = 604827^2 + 216078^2 .

It is not a de Polignac number, because 412505402013 - 2¹² = 412505397917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412505402213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619377148 + ... + 619377813.

Almost surely, 2^412505402013 is an apocalyptic number.

It is an amenable number.

412505402013 is a deficient number, since it is larger than the sum of its proper divisors (199439549215).

412505402013 is a wasteful number, since it uses less digits than its factorization.

412505402013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238755004 (or 1238755001 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 412505402013 its reverse (310204505214), we get a palindrome (722709907227).

The spelling of 412505402013 in words is "four hundred twelve billion, five hundred five million, four hundred two thousand, thirteen".