414351315313 has 4 divisors (see below), whose sum is σ = 446224493428. Its totient is φ = 382478137200.

The previous prime is 414351315307. The next prime is 414351315331. The reversal of 414351315313 is 313513153414.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 255810373729 + 158540941584 = 505777^2 + 398172^2 .

It is a cyclic number.

It is not a de Polignac number, because 414351315313 - 2³⁷ = 276912361841 is a prime.

It is a super-2 number, since 2×414351315313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414351315013) 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 3 ways as a sum of consecutive naturals, for example, 15936589038 + ... + 15936589063.

It is an arithmetic number, because the mean of its divisors is an integer number (111556123357).

Almost surely, 2^414351315313 is an apocalyptic number.

It is an amenable number.

414351315313 is a deficient number, since it is larger than the sum of its proper divisors (31873178115).

414351315313 is a wasteful number, since it uses less digits than its factorization.

414351315313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873178114.

The product of its digits is 32400, while the sum is 34.

Adding to 414351315313 its reverse (313513153414), we get a palindrome (727864468727).

The spelling of 414351315313 in words is "four hundred fourteen billion, three hundred fifty-one million, three hundred fifteen thousand, three hundred thirteen".