51035035514100 has 288 divisors, whose sum is σ = 163824956531712. Its totient is φ = 12162702720000.

The previous prime is 51035035514083. The next prime is 51035035514101. The reversal of 51035035514100 is 141553053015.

51035035514100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51035035514101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80988240 + ... + 81615960.

It is an arithmetic number, because the mean of its divisors is an integer number (568836654624).

Almost surely, 2^{51035035514100} is an apocalyptic number.

51035035514100 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 51035035514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81912478265856).

51035035514100 is an abundant number, since it is smaller than the sum of its proper divisors (112789921017612).

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

51035035514100 is a wasteful number, since it uses less digits than its factorization.

51035035514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628167 (or 628160 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

Adding to 51035035514100 its reverse (141553053015), we get a palindrome (51176588567115).

The spelling of 51035035514100 in words is "fifty-one trillion, thirty-five billion, thirty-five million, five hundred fourteen thousand, one hundred".