51001377000 has 1024 divisors, whose sum is σ = 207459532800. Its totient is φ = 10152345600.

The previous prime is 51001376977. The next prime is 51001377043. The reversal of 51001377000 is 77310015.

It is a super-3 number, since 3×51001377000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 495158949 + ... + 495159051.

It is an arithmetic number, because the mean of its divisors is an integer number (202597200).

Almost surely, 2^51001377000 is an apocalyptic number.

51001377000 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 51001377000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103729766400).

51001377000 is an abundant number, since it is smaller than the sum of its proper divisors (156458155800).

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

51001377000 is a wasteful number, since it uses less digits than its factorization.

51001377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

Adding to 51001377000 its reverse (77310015), we get a palindrome (51078687015).

The spelling of 51001377000 in words is "fifty-one billion, one million, three hundred seventy-seven thousand".