51633131520000 has 640 divisors, whose sum is σ = 173040566418720. Its totient is φ = 13689815040000.

The previous prime is 51633131519933. The next prime is 51633131520029. The reversal of 51633131520000 is 2513133615.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 51633131520000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11120637679 + ... + 11120642321.

Almost surely, 2^{51633131520000} is an apocalyptic number.

51633131520000 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 51633131520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86520283209360).

51633131520000 is an abundant number, since it is smaller than the sum of its proper divisors (121407434898720).

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

51633131520000 is an frugal number, since it uses more digits than its factorization.

51633131520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4877 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 51633131520000 its reverse (2513133615), we get a palindrome (51635644653615).

The spelling of 51633131520000 in words is "fifty-one trillion, six hundred thirty-three billion, one hundred thirty-one million, five hundred twenty thousand".