431513220252401 has 12 divisors (see below), whose sum is σ = 504737642010420. Its totient is φ = 367825002259680.

The previous prime is 431513220252349. The next prime is 431513220252437. The reversal of 431513220252401 is 104252022315134.

It can be written as a sum of positive squares in 2 ways, for example, as 18458365542400 + 413054854710001 = 4296320^2 + 20323751^2 .

It is not a de Polignac number, because 431513220252401 - 2¹⁸ = 431513219990257 is a prime.

It is a super-2 number, since 2×431513220252401² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431513220258401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24327041546 + ... + 24327059283.

It is an arithmetic number, because the mean of its divisors is an integer number (42061470167535).

Almost surely, 2^{431513220252401} is an apocalyptic number.

It is an amenable number.

431513220252401 is a deficient number, since it is larger than the sum of its proper divisors (73224421758019).

431513220252401 is a wasteful number, since it uses less digits than its factorization.

431513220252401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48654101024 (or 48654101017 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 431513220252401 its reverse (104252022315134), we get a palindrome (535765242567535).

The spelling of 431513220252401 in words is "four hundred thirty-one trillion, five hundred thirteen billion, two hundred twenty million, two hundred fifty-two thousand, four hundred one".