51005671100 has 36 divisors (see below), whose sum is σ = 112558290600. Its totient is φ = 20056464960.

The previous prime is 51005671097. The next prime is 51005671103. The reversal of 51005671100 is 117650015.

51005671100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51005671097) and next prime (51005671103).

It is a super-2 number, since 2×51005671100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51005671100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51005671103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4316615 + ... + 4328414.

Almost surely, 2^51005671100 is an apocalyptic number.

51005671100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51005671100 is an abundant number, since it is smaller than the sum of its proper divisors (61552619500).

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

51005671100 is a wasteful number, since it uses less digits than its factorization.

51005671100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8645102 (or 8645095 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 51005671100 in words is "fifty-one billion, five million, six hundred seventy-one thousand, one hundred".