51573600 has 432 divisors, whose sum is σ = 213267600. Its totient is φ = 11612160.

The previous prime is 51573593. The next prime is 51573607. The reversal of 51573600 is 637515.

51573600 is a `hidden beast` number, since 5 + 1 + 57 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (51573593) and next prime (51573607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51573607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1778386 + ... + 1778414.

It is an arithmetic number, because the mean of its divisors is an integer number (493675).

Almost surely, 2^51573600 is an apocalyptic number.

51573600 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 51573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

51573600 is an abundant number, since it is smaller than the sum of its proper divisors (161694000).

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

51573600 is a wasteful number, since it uses less digits than its factorization.

51573600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 51573600 is about 7181.4761713731. The cubic root of 51573600 is about 372.2280945915.

The spelling of 51573600 in words is "fifty-one million, five hundred seventy-three thousand, six hundred".