51309120 has 224 divisors, whose sum is σ = 179222400. Its totient is φ = 12386304.

The previous prime is 51309107. The next prime is 51309127. The reversal of 51309120 is 2190315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51309127) 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 31 ways as a sum of consecutive naturals, for example, 528912 + ... + 529008.

It is an arithmetic number, because the mean of its divisors is an integer number (800100).

Almost surely, 2^51309120 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 51309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89611200).

51309120 is an abundant number, since it is smaller than the sum of its proper divisors (127913280).

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

51309120 is a wasteful number, since it uses less digits than its factorization.

51309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51309120 is about 7163.0384614352. The cubic root of 51309120 is about 371.5907164702.

Adding to 51309120 its reverse (2190315), we get a palindrome (53499435).

It can be divided in two parts, 5130 and 9120, that multiplied together give a square (46785600 = 6840²).

The spelling of 51309120 in words is "fifty-one million, three hundred nine thousand, one hundred twenty".