505853213 has 2 divisors, whose sum is σ = 505853214. Its totient is φ = 505853212.

The previous prime is 505853141. The next prime is 505853221. The reversal of 505853213 is 312358505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438399844 + 67453369 = 20938^2 + 8213^2 .

It is a cyclic number.

It is not a de Polignac number, because 505853213 - 2¹⁸ = 505591069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505853213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505853263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252926606 + 252926607.

It is an arithmetic number, because the mean of its divisors is an integer number (252926607).

Almost surely, 2^505853213 is an apocalyptic number.

It is an amenable number.

505853213 is a deficient number, since it is larger than the sum of its proper divisors (1).

505853213 is an equidigital number, since it uses as much as digits as its factorization.

505853213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 505853213 is about 22491.1807826979. The cubic root of 505853213 is about 796.7856506829.

The spelling of 505853213 in words is "five hundred five million, eight hundred fifty-three thousand, two hundred thirteen".