51533013000 has 256 divisors, whose sum is σ = 187223063040. Its totient is φ = 11556480000.

The previous prime is 51533012977. The next prime is 51533013001. The reversal of 51533013000 is 31033515.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (51533013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1089850 + ... + 1136150.

It is an arithmetic number, because the mean of its divisors is an integer number (731340090).

Almost surely, 2^51533013000 is an apocalyptic number.

51533013000 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 51533013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93611531520).

51533013000 is an abundant number, since it is smaller than the sum of its proper divisors (135690050040).

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

51533013000 is a wasteful number, since it uses less digits than its factorization.

51533013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46385 (or 46371 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

Adding to 51533013000 its reverse (31033515), we get a palindrome (51564046515).

The spelling of 51533013000 in words is "fifty-one billion, five hundred thirty-three million, thirteen thousand".