51258600 has 72 divisors (see below), whose sum is σ = 172149510. Its totient is φ = 13668480.

The previous prime is 51258563. The next prime is 51258607. The reversal of 51258600 is 685215.

51258600 is a `hidden beast` number, since 5 + 1 + 2 + 58 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36650916 + 14607684 = 6054^2 + 3822^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (51258607) 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 17 ways as a sum of consecutive naturals, for example, 12439 + ... + 16038.

Almost surely, 2^51258600 is an apocalyptic number.

51258600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51258600 is an abundant number, since it is smaller than the sum of its proper divisors (120890910).

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

51258600 is a wasteful number, since it uses less digits than its factorization.

51258600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28499 (or 28487 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51258600 is about 7159.5111564967. The cubic root of 51258600 is about 371.4687178358.

The spelling of 51258600 in words is "fifty-one million, two hundred fifty-eight thousand, six hundred".