5056151511006 has 128 divisors (see below), whose sum is σ = 11925346176000. Its totient is φ = 1582446108672.

The previous prime is 5056151510911. The next prime is 5056151511013. The reversal of 5056151511006 is 6001151516505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724684990 + ... + 724691966.

It is an arithmetic number, because the mean of its divisors is an integer number (93166767000).

Almost surely, 2^{5056151511006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056151511006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962673088000).

5056151511006 is an abundant number, since it is smaller than the sum of its proper divisors (6869194664994).

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

5056151511006 is a wasteful number, since it uses less digits than its factorization.

5056151511006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 5056151511006 in words is "five trillion, fifty-six billion, one hundred fifty-one million, five hundred eleven thousand, six".