51755000 has 80 divisors (see below), whose sum is σ = 132426360. Its totient is φ = 18800000.

The previous prime is 51754999. The next prime is 51755003. The reversal of 51755000 is 55715.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51755003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54530 + ... + 55470.

Almost surely, 2^51755000 is an apocalyptic number.

51755000 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 51755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66213180).

51755000 is an abundant number, since it is smaller than the sum of its proper divisors (80671360).

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

51755000 is a wasteful number, since it uses less digits than its factorization.

51755000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 23.

The square root of 51755000 is about 7194.0948005986. The cubic root of 51755000 is about 372.6639969741.

The spelling of 51755000 in words is "fifty-one million, seven hundred fifty-five thousand".