5005105106051 has 32 divisors (see below), whose sum is σ = 5457198458880. Its totient is φ = 4572956044800.

The previous prime is 5005105106011. The next prime is 5005105106059. The reversal of 5005105106051 is 1506015015005.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 5005105106051 - 2²⁶ = 5005037997187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5005105106059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229865801 + ... + 229887573.

It is an arithmetic number, because the mean of its divisors is an integer number (170537451840).

Almost surely, 2^{5005105106051} is an apocalyptic number.

5005105106051 is a deficient number, since it is larger than the sum of its proper divisors (452093352829).

5005105106051 is a wasteful number, since it uses less digits than its factorization.

5005105106051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23147.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 5005105106051 in words is "five trillion, five billion, one hundred five million, one hundred six thousand, fifty-one".