5288468648825 has 6 divisors (see below), whose sum is σ = 6557701124574. Its totient is φ = 4230774919040.

The previous prime is 5288468648809. The next prime is 5288468648833.

5288468648825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 2980286464 + 5285488362361 = 54592^2 + 2299019^2 .

It is not a de Polignac number, because 5288468648825 - 2⁴ = 5288468648809 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 (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105769372952 + ... + 105769373001.

It is an arithmetic number, because the mean of its divisors is an integer number (1092950187429).

Almost surely, 2^{5288468648825} is an apocalyptic number.

It is an amenable number.

5288468648825 is a deficient number, since it is larger than the sum of its proper divisors (1269232475749).

5288468648825 is a wasteful number, since it uses less digits than its factorization.

5288468648825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211538745963 (or 211538745958 counting only the distinct ones).

The product of its digits is 1887436800, while the sum is 74.

The spelling of 5288468648825 in words is "five trillion, two hundred eighty-eight billion, four hundred sixty-eight million, six hundred forty-eight thousand, eight hundred twenty-five".