505210221201 has 16 divisors (see below), whose sum is σ = 773296369664. Its totient is φ = 287396971344.

The previous prime is 505210221157. The next prime is 505210221203. The reversal of 505210221201 is 102122012505.

It is not a de Polignac number, because 505210221201 - 2¹⁸ = 505209959057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (505210221203) 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, 53936191 + ... + 53945556.

It is an arithmetic number, because the mean of its divisors is an integer number (48331023104).

Almost surely, 2^505210221201 is an apocalyptic number.

It is an amenable number.

505210221201 is a deficient number, since it is larger than the sum of its proper divisors (268086148463).

505210221201 is a wasteful number, since it uses less digits than its factorization.

505210221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107881980.

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 505210221201 its reverse (102122012505), we get a palindrome (607332233706).

The spelling of 505210221201 in words is "five hundred five billion, two hundred ten million, two hundred twenty-one thousand, two hundred one".