51134012311000 has 256 divisors, whose sum is σ = 124319389708800. Its totient is φ = 19672922304000.

The previous prime is 51134012310971. The next prime is 51134012311001. The reversal of 51134012311000 is 11321043115.

It is a happy number.

It is a super-2 number, since 2×51134012311000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51134012311001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763947535 + ... + 764014465.

It is an arithmetic number, because the mean of its divisors is an integer number (485622616050).

Almost surely, 2^{51134012311000} is an apocalyptic number.

51134012311000 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 51134012311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62159694854400).

51134012311000 is an abundant number, since it is smaller than the sum of its proper divisors (73185377397800).

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

51134012311000 is a wasteful number, since it uses less digits than its factorization.

51134012311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67267 (or 67253 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 51134012311000 its reverse (11321043115), we get a palindrome (51145333354115).

The spelling of 51134012311000 in words is "fifty-one trillion, one hundred thirty-four billion, twelve million, three hundred eleven thousand".