315334222433513 has 2 divisors, whose sum is σ = 315334222433514. Its totient is φ = 315334222433512.

The previous prime is 315334222433473. The next prime is 315334222433519.

315334222433513 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313963421694169 + 1370800739344 = 17719013^2 + 1170812^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 315334222433513 - 2¹⁴ = 315334222417129 is a prime.

It is a super-4 number, since 4×315334222433513⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not a weakly prime, because it can be changed into another prime (315334222433519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157667111216756 + 157667111216757.

It is an arithmetic number, because the mean of its divisors is an integer number (157667111216757).

Almost surely, 2^{315334222433513} is an apocalyptic number.

It is an amenable number.

315334222433513 is a deficient number, since it is larger than the sum of its proper divisors (1).

315334222433513 is an equidigital number, since it uses as much as digits as its factorization.

315334222433513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2332800, while the sum is 44.

The spelling of 315334222433513 in words is "three hundred fifteen trillion, three hundred thirty-four billion, two hundred twenty-two million, four hundred thirty-three thousand, five hundred thirteen".