320505101505023 has 2 divisors, whose sum is σ = 320505101505024. Its totient is φ = 320505101505022.

The previous prime is 320505101504999. The next prime is 320505101505109.

320505101505023 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 320505101505023 - 2¹⁶ = 320505101439487 is a prime.

It is a super-4 number, since 4×320505101505023⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320505101585023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160252550752511 + 160252550752512.

It is an arithmetic number, because the mean of its divisors is an integer number (160252550752512).

Almost surely, 2^{320505101505023} is an apocalyptic number.

320505101505023 is a deficient number, since it is larger than the sum of its proper divisors (1).

320505101505023 is an equidigital number, since it uses as much as digits as its factorization.

320505101505023 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 32050510 and 1505023, that added together give a palindrome (33555533).

The spelling of 320505101505023 in words is "three hundred twenty trillion, five hundred five billion, one hundred one million, five hundred five thousand, twenty-three".