51801001314000 has 320 divisors, whose sum is σ = 167436206825472. Its totient is φ = 13778096640000.

The previous prime is 51801001313993. The next prime is 51801001314079. The reversal of 51801001314000 is 41310010815.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4260995922 + ... + 4261008078.

Almost surely, 2^{51801001314000} is an apocalyptic number.

51801001314000 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 51801001314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83718103412736).

51801001314000 is an abundant number, since it is smaller than the sum of its proper divisors (115635205511472).

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

51801001314000 is a wasteful number, since it uses less digits than its factorization.

51801001314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13935 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 51801001314000 its reverse (41310010815), we get a palindrome (51842311324815).

The spelling of 51801001314000 in words is "fifty-one trillion, eight hundred one billion, one million, three hundred fourteen thousand".