51256600 has 48 divisors (see below), whose sum is σ = 119802600. Its totient is φ = 20394240.

The previous prime is 51256589. The next prime is 51256637. The reversal of 51256600 is 665215.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 44836 + ... + 45964.

Almost surely, 2^51256600 is an apocalyptic number.

51256600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51256600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59901300).

51256600 is an abundant number, since it is smaller than the sum of its proper divisors (68546000).

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

51256600 is a wasteful number, since it uses less digits than its factorization.

51256600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 51256600 is about 7159.3714807935. The cubic root of 51256600 is about 371.4638864703.

The spelling of 51256600 in words is "fifty-one million, two hundred fifty-six thousand, six hundred".