5623126213265 has 24 divisors (see below), whose sum is σ = 7556892442344. Its totient is φ = 4012385062400.

The previous prime is 5623126213253. The next prime is 5623126213283.

5623126213265 is nontrivially palindromic in base 10.

5623126213265 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 907383889489 + 4715742323776 = 952567^2 + 2171576^2 .

It is not a de Polignac number, because 5623126213265 - 2⁴ = 5623126213249 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87651176 + ... + 87715305.

It is an arithmetic number, because the mean of its divisors is an integer number (314870518431).

Almost surely, 2^{5623126213265} is an apocalyptic number.

5623126213265 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5623126213265 is a deficient number, since it is larger than the sum of its proper divisors (1933766229079).

5623126213265 is a wasteful number, since it uses less digits than its factorization.

5623126213265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175366561 (or 175366550 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The spelling of 5623126213265 in words is "five trillion, six hundred twenty-three billion, one hundred twenty-six million, two hundred thirteen thousand, two hundred sixty-five".