51717900 has 144 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 12503040.

The previous prime is 51717871. The next prime is 51717923. The reversal of 51717900 is 971715.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 347026 + ... + 347174.

It is an arithmetic number, because the mean of its divisors is an integer number (1139250).

Almost surely, 2^51717900 is an apocalyptic number.

51717900 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 51717900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

51717900 is an abundant number, since it is smaller than the sum of its proper divisors (112334100).

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

51717900 is a wasteful number, since it uses less digits than its factorization.

51717900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 51717900 is about 7191.5158346485. The cubic root of 51717900 is about 372.5749289985.

The spelling of 51717900 in words is "fifty-one million, seven hundred seventeen thousand, nine hundred".