51257825 has 12 divisors (see below), whose sum is σ = 63730668. Its totient is φ = 40896000.

The previous prime is 51257813. The next prime is 51257851. The reversal of 51257825 is 52875215.

It can be written as a sum of positive squares in 6 ways, for example, as 1032256 + 50225569 = 1016^2 + 7087^2 .

It is not a de Polignac number, because 51257825 - 2²² = 47063521 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7469 + ... + 12581.

It is an arithmetic number, because the mean of its divisors is an integer number (5310889).

Almost surely, 2^51257825 is an apocalyptic number.

It is an amenable number.

51257825 is a deficient number, since it is larger than the sum of its proper divisors (12472843).

51257825 is a wasteful number, since it uses less digits than its factorization.

51257825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5519 counting only the distinct ones).

The product of its digits is 28000, while the sum is 35.

The square root of 51257825 is about 7159.4570324851. The cubic root of 51257825 is about 371.4668456966.

The spelling of 51257825 in words is "fifty-one million, two hundred fifty-seven thousand, eight hundred twenty-five".