51013600 has 216 divisors, whose sum is σ = 149615424. Its totient is φ = 16896000.

The previous prime is 51013597. The next prime is 51013601. The reversal of 51013600 is 631015.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51013601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1645585 + ... + 1645615.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^51013600 is an apocalyptic number.

51013600 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 51013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

51013600 is an abundant number, since it is smaller than the sum of its proper divisors (98601824).

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

51013600 is a wasteful number, since it uses less digits than its factorization.

51013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 51013600 is about 7142.3805555291. The cubic root of 51013600 is about 370.8759378171.

Adding to 51013600 its reverse (631015), we get a palindrome (51644615).

The spelling of 51013600 in words is "fifty-one million, thirteen thousand, six hundred".