505225205201 has 2 divisors, whose sum is σ = 505225205202. Its totient is φ = 505225205200.

The previous prime is 505225205143. The next prime is 505225205207. The reversal of 505225205201 is 102502522505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384920976400 + 120304228801 = 620420^2 + 346849^2 .

It is a cyclic number.

It is not a de Polignac number, because 505225205201 - 2¹⁸ = 505224943057 is a prime.

It is not a weakly prime, because it can be changed into another prime (505225205207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252612602600 + 252612602601.

It is an arithmetic number, because the mean of its divisors is an integer number (252612602601).

Almost surely, 2^505225205201 is an apocalyptic number.

It is an amenable number.

505225205201 is a deficient number, since it is larger than the sum of its proper divisors (1).

505225205201 is an equidigital number, since it uses as much as digits as its factorization.

505225205201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10000, while the sum is 29.

Adding to 505225205201 its reverse (102502522505), we get a palindrome (607727727706).

The spelling of 505225205201 in words is "five hundred five billion, two hundred twenty-five million, two hundred five thousand, two hundred one".