51610031514100 has 72 divisors (see below), whose sum is σ = 112648434960600. Its totient is φ = 20523668766720.

The previous prime is 51610031514079. The next prime is 51610031514211. The reversal of 51610031514100 is 141513001615.

51610031514100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 31265565599844 + 20344465914256 = 5591562^2 + 4510484^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10362492 + ... + 14512108.

It is an arithmetic number, because the mean of its divisors is an integer number (1564561596675).

Almost surely, 2^{51610031514100} is an apocalyptic number.

51610031514100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51610031514100 is an abundant number, since it is smaller than the sum of its proper divisors (61038403446500).

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

51610031514100 is a wasteful number, since it uses less digits than its factorization.

51610031514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150357 (or 4150350 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 51610031514100 its reverse (141513001615), we get a palindrome (51751544515715).

The spelling of 51610031514100 in words is "fifty-one trillion, six hundred ten billion, thirty-one million, five hundred fourteen thousand, one hundred".