51006010611008 has 56 divisors (see below), whose sum is σ = 102728882111040. Its totient is φ = 25122185661440.

The previous prime is 51006010611007. The next prime is 51006010611053. The reversal of 51006010611008 is 80011601060015.

It is a super-2 number, since 2×51006010611008² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006010611007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458828 + ... + 10110516.

Almost surely, 2^{51006010611008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006010611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51364441055520).

51006010611008 is an abundant number, since it is smaller than the sum of its proper divisors (51722871500032).

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

51006010611008 is a wasteful number, since it uses less digits than its factorization.

51006010611008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652935 (or 9652925 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 51006010611008 in words is "fifty-one trillion, six billion, ten million, six hundred eleven thousand, eight".