51958120 has 64 divisors (see below), whose sum is σ = 125096400. Its totient is φ = 19353600.

The previous prime is 51958099. The next prime is 51958121. The reversal of 51958120 is 2185915.

It can be written as a sum of positive squares in 8 ways, for example, as 43903876 + 8054244 = 6626^2 + 2838^2 .

It is not an unprimeable number, because it can be changed into a prime (51958121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73770 + ... + 74470.

Almost surely, 2^51958120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51958120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62548200).

51958120 is an abundant number, since it is smaller than the sum of its proper divisors (73138280).

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

51958120 is a wasteful number, since it uses less digits than its factorization.

51958120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

The square root of 51958120 is about 7208.1981104850. The cubic root of 51958120 is about 373.1508852001.

The spelling of 51958120 in words is "fifty-one million, nine hundred fifty-eight thousand, one hundred twenty".