51505156600100 has 54 divisors (see below), whose sum is σ = 130013731030050. Its totient is φ = 17658910832640.

The previous prime is 51505156599973. The next prime is 51505156600123. The reversal of 51505156600100 is 100665150515.

51505156600100 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 3 ways, for example, as 8619003842596 + 42886152757504 = 2935814^2 + 6548752^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

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 17 ways as a sum of consecutive naturals, for example, 5255623325 + ... + 5255633124.

Almost surely, 2^{51505156600100} is an apocalyptic number.

51505156600100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51505156600100 is an abundant number, since it is smaller than the sum of its proper divisors (78508574429950).

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

51505156600100 is a wasteful number, since it uses less digits than its factorization.

51505156600100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511256477 (or 10511256463 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 51505156600100 in words is "fifty-one trillion, five hundred five billion, one hundred fifty-six million, six hundred thousand, one hundred".