51350040 has 288 divisors, whose sum is σ = 201670560. Its totient is φ = 11289600.

The previous prime is 51350029. The next prime is 51350051. The reversal of 51350040 is 4005315.

It is an interprime number because it is at equal distance from previous prime (51350029) and next prime (51350051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51349995 and 51350022.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 723205 + ... + 723275.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^51350040 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 51350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

51350040 is an abundant number, since it is smaller than the sum of its proper divisors (150320520).

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

51350040 is a wasteful number, since it uses less digits than its factorization.

51350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 51350040 is about 7165.8942219377. The cubic root of 51350040 is about 371.6894737781.

Adding to 51350040 its reverse (4005315), we get a palindrome (55355355).

The spelling of 51350040 in words is "fifty-one million, three hundred fifty thousand, forty".