51586025 has 24 divisors (see below), whose sum is σ = 66912384. Its totient is φ = 39412800.

The previous prime is 51586009. The next prime is 51586027. The reversal of 51586025 is 52068515.

51586025 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 51586025 - 2⁴ = 51586009 is a prime.

It is a super-2 number, since 2×51586025² = 5322235950601250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51585982 and 51586000.

It is not an unprimeable number, because it can be changed into a prime (51586027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50015 + ... + 51035.

It is an arithmetic number, because the mean of its divisors is an integer number (2788016).

Almost surely, 2^51586025 is an apocalyptic number.

It is an amenable number.

51586025 is a deficient number, since it is larger than the sum of its proper divisors (15326359).

51586025 is a wasteful number, since it uses less digits than its factorization.

51586025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 51586025 is about 7182.3411921183. The cubic root of 51586025 is about 372.2579843200.

The spelling of 51586025 in words is "fifty-one million, five hundred eighty-six thousand, twenty-five".