5263150513625 has 64 divisors (see below), whose sum is σ = 6725282541120. Its totient is φ = 4111360000000.

The previous prime is 5263150513571. The next prime is 5263150513703.

5263150513625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 32 ways, for example, as 3318634610944 + 1944515902681 = 1821712^2 + 1394459^2 .

It is not a de Polignac number, because 5263150513625 - 2¹⁰ = 5263150512601 is a prime.

It is a super-2 number, since 2×5263150513625² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450567785 + ... + 450579465.

It is an arithmetic number, because the mean of its divisors is an integer number (105082539705).

Almost surely, 2^{5263150513625} is an apocalyptic number.

It is an amenable number.

5263150513625 is a deficient number, since it is larger than the sum of its proper divisors (1462132027495).

5263150513625 is a wasteful number, since it uses less digits than its factorization.

5263150513625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

It can be divided in two parts, 5263150 and 513625, that added together give a palindrome (5776775).

The spelling of 5263150513625 in words is "five trillion, two hundred sixty-three billion, one hundred fifty million, five hundred thirteen thousand, six hundred twenty-five".