51005940 has 48 divisors (see below), whose sum is σ = 144099648. Its totient is φ = 13479424.

The previous prime is 51005923. The next prime is 51005947. The reversal of 51005940 is 4950015.

51005940 is a modest number, since divided by 5940 gives 5100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 51005940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3019 + ... + 10541.

It is an arithmetic number, because the mean of its divisors is an integer number (3002076).

Almost surely, 2^51005940 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 51005940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72049824).

51005940 is an abundant number, since it is smaller than the sum of its proper divisors (93093708).

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

51005940 is a wasteful number, since it uses less digits than its factorization.

51005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 51005940 is about 7141.8442996190. The cubic root of 51005940 is about 370.8573738009.

Adding to 51005940 its reverse (4950015), we get a palindrome (55955955).

The spelling of 51005940 in words is "fifty-one million, five thousand, nine hundred forty".