51282600 has 96 divisors (see below), whose sum is σ = 160465920. Its totient is φ = 13547520.

The previous prime is 51282599. The next prime is 51282607. The reversal of 51282600 is 628215.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51282607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75864 + ... + 76536.

It is an arithmetic number, because the mean of its divisors is an integer number (1671520).

Almost surely, 2^51282600 is an apocalyptic number.

51282600 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 51282600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80232960).

51282600 is an abundant number, since it is smaller than the sum of its proper divisors (109183320).

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

51282600 is a wasteful number, since it uses less digits than its factorization.

51282600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 51282600 is about 7161.1870524376. The cubic root of 51282600 is about 371.5266844221.

The spelling of 51282600 in words is "fifty-one million, two hundred eighty-two thousand, six hundred".