51001600 has 108 divisors (see below), whose sum is σ = 136169236. Its totient is φ = 18800640.

The previous prime is 51001597. The next prime is 51001619. The reversal of 51001600 is 610015.

It can be written as a sum of positive squares in 6 ways, for example, as 21233664 + 29767936 = 4608^2 + 5456^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82894 + ... + 83506.

Almost surely, 2^51001600 is an apocalyptic number.

51001600 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 51001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68084618).

51001600 is an abundant number, since it is smaller than the sum of its proper divisors (85167636).

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

51001600 is a wasteful number, since it uses less digits than its factorization.

51001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51001600 is about 7141.5404500710. The cubic root of 51001600 is about 370.8468549826.

Adding to 51001600 its reverse (610015), we get a palindrome (51611615).

The spelling of 51001600 in words is "fifty-one million, one thousand, six hundred".