21160523525 has 24 divisors (see below), whose sum is σ = 27281814120. Its totient is φ = 16261602560.

The previous prime is 21160523507. The next prime is 21160523537. The reversal of 21160523525 is 52532506112.

It can be written as a sum of positive squares in 12 ways, for example, as 46689889 + 21113833636 = 6833^2 + 145306^2 .

It is not a de Polignac number, because 21160523525 - 2³⁴ = 3980654341 is a prime.

It is a super-3 number, since 3×21160523525³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21160523491 and 21160523500.

It is a congruent 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, 68747 + ... + 216903.

It is an arithmetic number, because the mean of its divisors is an integer number (1136742255).

Almost surely, 2^21160523525 is an apocalyptic number.

21160523525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21160523525 is a deficient number, since it is larger than the sum of its proper divisors (6121290595).

21160523525 is a wasteful number, since it uses less digits than its factorization.

21160523525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148393 (or 148388 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 21160523525 in words is "twenty-one billion, one hundred sixty million, five hundred twenty-three thousand, five hundred twenty-five".