51113600 has 48 divisors (see below), whose sum is σ = 126274470. Its totient is φ = 20444160.

The previous prime is 51113599. The next prime is 51113603. The reversal of 51113600 is 631115.

It can be written as a sum of positive squares in 3 ways, for example, as 43138624 + 7974976 = 6568^2 + 2824^2 .

It is a super-2 number, since 2×51113600² = 5225200209920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51113603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4787 + ... + 11186.

Almost surely, 2^51113600 is an apocalyptic number.

51113600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51113600 is an abundant number, since it is smaller than the sum of its proper divisors (75160870).

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

51113600 is a wasteful number, since it uses less digits than its factorization.

51113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15997 (or 15980 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 51113600 is about 7149.3775952876. The cubic root of 51113600 is about 371.1181175910.

Adding to 51113600 its reverse (631115), we get a palindrome (51744715).

The spelling of 51113600 in words is "fifty-one million, one hundred thirteen thousand, six hundred".