505742211 has 20 divisors (see below), whose sum is σ = 813607872. Its totient is φ = 311225328.

The previous prime is 505742203. The next prime is 505742243. The reversal of 505742211 is 112247505.

It is not a de Polignac number, because 505742211 - 2³ = 505742203 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (505742201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239091 + ... + 241196.

Almost surely, 2^505742211 is an apocalyptic number.

505742211 is a deficient number, since it is larger than the sum of its proper divisors (307865661).

505742211 is a wasteful number, since it uses less digits than its factorization.

505742211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480312 (or 480303 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 505742211 is about 22488.7129689540. The cubic root of 505742211 is about 796.7273654804.

Adding to 505742211 its reverse (112247505), we get a palindrome (617989716).

The spelling of 505742211 in words is "five hundred five million, seven hundred forty-two thousand, two hundred eleven".