51535616100 has 144 divisors (see below), whose sum is σ = 154857255168. Its totient is φ = 13222661760.

The previous prime is 51535616081. The next prime is 51535616101. The reversal of 51535616100 is 161653515.

It is not an unprimeable number, because it can be changed into a prime (51535616101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834487 + ... + 894113.

Almost surely, 2^51535616100 is an apocalyptic number.

51535616100 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 51535616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77428627584).

51535616100 is an abundant number, since it is smaller than the sum of its proper divisors (103321639068).

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

51535616100 is a wasteful number, since it uses less digits than its factorization.

51535616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59754 (or 59747 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 51535616100 in words is "fifty-one billion, five hundred thirty-five million, six hundred sixteen thousand, one hundred".