51007120 has 40 divisors (see below), whose sum is σ = 119066040. Its totient is φ = 20321280.

The previous prime is 51007111. The next prime is 51007133. The reversal of 51007120 is 2170015.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 50239744 = 876^2 + 7088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 51007094 and 51007103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21346 + ... + 23614.

It is an arithmetic number, because the mean of its divisors is an integer number (2976651).

Almost surely, 2^51007120 is an apocalyptic number.

It is an amenable number.

51007120 is an abundant number, since it is smaller than the sum of its proper divisors (68058920).

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

51007120 is a wasteful number, since it uses less digits than its factorization.

51007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 51007120 is about 7141.9269108554. The cubic root of 51007120 is about 370.8602336530.

Adding to 51007120 its reverse (2170015), we get a palindrome (53177135).

The spelling of 51007120 in words is "fifty-one million, seven thousand, one hundred twenty".