51627125 has 16 divisors (see below), whose sum is σ = 70289856. Its totient is φ = 37546000.

The previous prime is 51627119. The next prime is 51627127. The reversal of 51627125 is 52172615.

51627125 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 51627125 - 2¹⁶ = 51561589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51627127) 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 15 ways as a sum of consecutive naturals, for example, 17399 + ... + 20148.

It is an arithmetic number, because the mean of its divisors is an integer number (4393116).

Almost surely, 2^51627125 is an apocalyptic number.

51627125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51627125 is a deficient number, since it is larger than the sum of its proper divisors (18662731).

51627125 is a wasteful number, since it uses less digits than its factorization.

51627125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37573 (or 37563 counting only the distinct ones).

The product of its digits is 4200, while the sum is 29.

The square root of 51627125 is about 7185.2018064909. The cubic root of 51627125 is about 372.3568207891.

Subtracting 51627125 from its reverse (52172615), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 51627125 in words is "fifty-one million, six hundred twenty-seven thousand, one hundred twenty-five".