51257856 has 160 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 14745600.

The previous prime is 51257851. The next prime is 51257863. The reversal of 51257856 is 65875215.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51257851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339381 + ... + 339531.

Almost surely, 2^51257856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

51257856 is an abundant number, since it is smaller than the sum of its proper divisors (105482112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51257856 is a wasteful number, since it uses less digits than its factorization.

51257856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its digits is 84000, while the sum is 39.

The square root of 51257856 is about 7159.4591974534. The cubic root of 51257856 is about 371.4669205825.

The spelling of 51257856 in words is "fifty-one million, two hundred fifty-seven thousand, eight hundred fifty-six".