51285000 has 160 divisors (see below), whose sum is σ = 173194560. Its totient is φ = 12576000.

The previous prime is 51284999. The next prime is 51285001. The reversal of 51285000 is 58215.

It is an interprime number because it is at equal distance from previous prime (51284999) and next prime (51285001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51285001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194869 + ... + 195131.

It is an arithmetic number, because the mean of its divisors is an integer number (1082466).

Almost surely, 2^51285000 is an apocalyptic number.

51285000 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 51285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86597280).

51285000 is an abundant number, since it is smaller than the sum of its proper divisors (121909560).

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

51285000 is a wasteful number, since it uses less digits than its factorization.

51285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 51285000 is about 7161.3546204611. The cubic root of 51285000 is about 371.5324800859.

The spelling of 51285000 in words is "fifty-one million, two hundred eighty-five thousand".