506221315201 has 12 divisors (see below), whose sum is σ = 588973455252. Its totient is φ = 433827528288.

The previous prime is 506221315199. The next prime is 506221315213. The reversal of 506221315201 is 102513122605.

It can be written as a sum of positive squares in 2 ways, for example, as 17866332225 + 488354982976 = 133665^2 + 698824^2 .

It is not a de Polignac number, because 506221315201 - 2¹ = 506221315199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506221315201.

It is not an unprimeable number, because it can be changed into a prime (506221315231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628390 + ... + 1186303.

It is an arithmetic number, because the mean of its divisors is an integer number (49081121271).

Almost surely, 2^506221315201 is an apocalyptic number.

It is an amenable number.

506221315201 is a deficient number, since it is larger than the sum of its proper divisors (82752140051).

506221315201 is a wasteful number, since it uses less digits than its factorization.

506221315201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820400 (or 1820393 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 506221315201 its reverse (102513122605), we get a palindrome (608734437806).

The spelling of 506221315201 in words is "five hundred six billion, two hundred twenty-one million, three hundred fifteen thousand, two hundred one".