51795100 has 72 divisors (see below), whose sum is σ = 130665248. Its totient is φ = 17452800.

The previous prime is 51795067. The next prime is 51795101. The reversal of 51795100 is 159715.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51795101) 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, 42094 + ... + 43306.

Almost surely, 2^51795100 is an apocalyptic number.

51795100 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 51795100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65332624).

51795100 is an abundant number, since it is smaller than the sum of its proper divisors (78870148).

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

51795100 is a wasteful number, since it uses less digits than its factorization.

51795100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 28.

The square root of 51795100 is about 7196.8812689942. The cubic root of 51795100 is about 372.7602193579.

The spelling of 51795100 in words is "fifty-one million, seven hundred ninety-five thousand, one hundred".