505404513413 has 2 divisors, whose sum is σ = 505404513414. Its totient is φ = 505404513412.

The previous prime is 505404513377. The next prime is 505404513421. The reversal of 505404513413 is 314315404505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365301777604 + 140102735809 = 604402^2 + 374303^2 .

It is a cyclic number.

It is not a de Polignac number, because 505404513413 - 2²⁶ = 505337404549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505404513443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252702256706 + 252702256707.

It is an arithmetic number, because the mean of its divisors is an integer number (252702256707).

Almost surely, 2^505404513413 is an apocalyptic number.

It is an amenable number.

505404513413 is a deficient number, since it is larger than the sum of its proper divisors (1).

505404513413 is an equidigital number, since it uses as much as digits as its factorization.

505404513413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 505404513413 its reverse (314315404505), we get a palindrome (819719917918).

The spelling of 505404513413 in words is "five hundred five billion, four hundred four million, five hundred thirteen thousand, four hundred thirteen".