51931600 has 120 divisors (see below), whose sum is σ = 151115328. Its totient is φ = 16742400.

The previous prime is 51931591. The next prime is 51931619. The reversal of 51931600 is 613915.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 47055 + ... + 48145.

Almost surely, 2^51931600 is an apocalyptic number.

51931600 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 51931600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

51931600 is an abundant number, since it is smaller than the sum of its proper divisors (99183728).

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

51931600 is a wasteful number, since it uses less digits than its factorization.

51931600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 51931600 is about 7206.3583036094. The cubic root of 51931600 is about 373.0873876139.

The spelling of 51931600 in words is "fifty-one million, nine hundred thirty-one thousand, six hundred".