51133550657100 has 72 divisors (see below), whose sum is σ = 149819145960960. Its totient is φ = 13463010799680.

The previous prime is 51133550657071. The next prime is 51133550657113. The reversal of 51133550657100 is 175605533115.

It is a super-4 number, since 4×51133550657100⁴ (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078743192 + ... + 1078790591.

It is an arithmetic number, because the mean of its divisors is an integer number (2080821471680).

Almost surely, 2^{51133550657100} is an apocalyptic number.

51133550657100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51133550657100 is an abundant number, since it is smaller than the sum of its proper divisors (98685595303860).

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

51133550657100 is a wasteful number, since it uses less digits than its factorization.

51133550657100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157533879 (or 2157533872 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 42.

The spelling of 51133550657100 in words is "fifty-one trillion, one hundred thirty-three billion, five hundred fifty million, six hundred fifty-seven thousand, one hundred".