320338355346253 has 2 divisors, whose sum is σ = 320338355346254. Its totient is φ = 320338355346252.

The previous prime is 320338355346203. The next prime is 320338355346271. The reversal of 320338355346253 is 352643553833023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233289791225929 + 87048564120324 = 15273827^2 + 9329982^2 .

It is a cyclic number.

It is not a de Polignac number, because 320338355346253 - 2²⁵ = 320338321791821 is a prime.

It is a super-2 number, since 2×320338355346253² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320338355346194 and 320338355346203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320338355346203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160169177673126 + 160169177673127.

It is an arithmetic number, because the mean of its divisors is an integer number (160169177673127).

Almost surely, 2^{320338355346253} is an apocalyptic number.

It is an amenable number.

320338355346253 is a deficient number, since it is larger than the sum of its proper divisors (1).

320338355346253 is an equidigital number, since it uses as much as digits as its factorization.

320338355346253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984000, while the sum is 55.

The spelling of 320338355346253 in words is "three hundred twenty trillion, three hundred thirty-eight billion, three hundred fifty-five million, three hundred forty-six thousand, two hundred fifty-three".