51157800 has 144 divisors (see below), whose sum is σ = 174168540. Its totient is φ = 13455360.

The previous prime is 51157789. The next prime is 51157801. The reversal of 51157800 is 875115.

It can be written as a sum of positive squares in 6 ways, for example, as 31069476 + 20088324 = 5574^2 + 4482^2 .

It is not an unprimeable number, because it can be changed into a prime (51157801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 174454 + ... + 174746.

Almost surely, 2^51157800 is an apocalyptic number.

51157800 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 51157800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87084270).

51157800 is an abundant number, since it is smaller than the sum of its proper divisors (123010740).

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

51157800 is a wasteful number, since it uses less digits than its factorization.

51157800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 51157800 is about 7152.4681054864. The cubic root of 51157800 is about 371.2250603932.

It can be divided in two parts, 511 and 57800, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 51157800 in words is "fifty-one million, one hundred fifty-seven thousand, eight hundred".