521305201413 has 12 divisors (see below), whose sum is σ = 753191883340. Its totient is φ = 347446578816.

The previous prime is 521305201393. The next prime is 521305201421. The reversal of 521305201413 is 314102503125.

521305201413 is a `hidden beast` number, since 5 + 2 + 130 + 520 + 1 + 4 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483460167969 + 37845033444 = 695313^2 + 194538^2 .

It is not a de Polignac number, because 521305201413 - 2¹⁶ = 521305135877 is a prime.

It is a super-2 number, since 2×521305201413² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521305201463) 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, 7481908 + ... + 7551261.

Almost surely, 2^521305201413 is an apocalyptic number.

It is an amenable number.

521305201413 is a deficient number, since it is larger than the sum of its proper divisors (231886681927).

521305201413 is a wasteful number, since it uses less digits than its factorization.

521305201413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15037028 (or 15037025 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 521305201413 its reverse (314102503125), we get a palindrome (835407704538).

The spelling of 521305201413 in words is "five hundred twenty-one billion, three hundred five million, two hundred one thousand, four hundred thirteen".