51705000 has 160 divisors (see below), whose sum is σ = 179942400. Its totient is φ = 13752000.

The previous prime is 51704987. The next prime is 51705001. The reversal of 51705000 is 50715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51705001) 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, 134809 + ... + 135191.

It is an arithmetic number, because the mean of its divisors is an integer number (1124640).

Almost surely, 2^51705000 is an apocalyptic number.

51705000 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 51705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89971200).

51705000 is an abundant number, since it is smaller than the sum of its proper divisors (128237400).

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

51705000 is a wasteful number, since it uses less digits than its factorization.

51705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 51705000 is about 7190.6188885241. The cubic root of 51705000 is about 372.5439492910.

Adding to 51705000 its reverse (50715), we get a palindrome (51755715).

The spelling of 51705000 in words is "fifty-one million, seven hundred five thousand".