51011600 has 30 divisors (see below), whose sum is σ = 122556330. Its totient is φ = 20404480.

The previous prime is 51011573. The next prime is 51011603. The reversal of 51011600 is 611015.

It can be written as a sum of positive squares in 3 ways, for example, as 2347024 + 48664576 = 1532^2 + 6976^2 .

It is not an unprimeable number, because it can be changed into a prime (51011603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63365 + ... + 64164.

It is an arithmetic number, because the mean of its divisors is an integer number (4085211).

Almost surely, 2^51011600 is an apocalyptic number.

51011600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51011600 is an abundant number, since it is smaller than the sum of its proper divisors (71544730).

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

51011600 is a wasteful number, since it uses less digits than its factorization.

51011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127547 (or 127536 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 51011600 is about 7142.2405448151. The cubic root of 51011600 is about 370.8710909948.

Adding to 51011600 its reverse (611015), we get a palindrome (51622615).

The spelling of 51011600 in words is "fifty-one million, eleven thousand, six hundred".