52511011011525 has 48 divisors (see below), whose sum is σ = 97270519520448. Its totient is φ = 24771779136000.

The previous prime is 52511011011479. The next prime is 52511011011533.

52511011011525 is nontrivially palindromic in base 10.

52511011011525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52511011011525 - 2⁷ = 52511011011397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52511011011492 and 52511011011501.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 860100696 + ... + 860161745.

It is an arithmetic number, because the mean of its divisors is an integer number (2026469156676).

Almost surely, 2^{52511011011525} is an apocalyptic number.

52511011011525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52511011011525 is a deficient number, since it is larger than the sum of its proper divisors (44759508508923).

52511011011525 is a wasteful number, since it uses less digits than its factorization.

52511011011525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720262502 (or 1720262497 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 30.

It can be divided in two parts, 5251101 and 1011525, that added together give a palindrome (6262626).

The spelling of 52511011011525 in words is "fifty-two trillion, five hundred eleven billion, eleven million, eleven thousand, five hundred twenty-five".