51003401241000 has 512 divisors, whose sum is σ = 191002258137600. Its totient is φ = 11194266009600.

The previous prime is 51003401240989. The next prime is 51003401241011. The reversal of 51003401241000 is 14210430015.

It is an interprime number because it is at equal distance from previous prime (51003401240989) and next prime (51003401241011).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10572574 + ... + 14621426.

It is an arithmetic number, because the mean of its divisors is an integer number (373051285425).

Almost surely, 2^{51003401241000} is an apocalyptic number.

51003401241000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51003401241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95501129068800).

51003401241000 is an abundant number, since it is smaller than the sum of its proper divisors (139998856896600).

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

51003401241000 is a wasteful number, since it uses less digits than its factorization.

51003401241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048926 (or 4048912 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 51003401241000 its reverse (14210430015), we get a palindrome (51017611671015).

The spelling of 51003401241000 in words is "fifty-one trillion, three billion, four hundred one million, two hundred forty-one thousand".