51533543100 has 144 divisors (see below), whose sum is σ = 162164308320. Its totient is φ = 12559488000.

The previous prime is 51533543093. The next prime is 51533543123. The reversal of 51533543100 is 134533515.

It is a super-2 number, since 2×51533543100² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328486 + ... + 459314.

It is an arithmetic number, because the mean of its divisors is an integer number (1126141030).

Almost surely, 2^51533543100 is an apocalyptic number.

51533543100 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 51533543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81082154160).

51533543100 is an abundant number, since it is smaller than the sum of its proper divisors (110630765220).

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

51533543100 is a wasteful number, since it uses less digits than its factorization.

51533543100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130960 (or 130953 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 51533543100 in words is "fifty-one billion, five hundred thirty-three million, five hundred forty-three thousand, one hundred".