51005561011005 has 64 divisors (see below), whose sum is σ = 86432205772800. Its totient is φ = 25630652610816.

The previous prime is 51005561010997. The next prime is 51005561011019. The reversal of 51005561011005 is 50011016550015.

It is not a de Polignac number, because 51005561011005 - 2³ = 51005561010997 is a prime.

It is a super-2 number, since 2×51005561011005² (a number of 28 digits) contains 22 as substring.

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, 678688171 + ... + 678763319.

It is an arithmetic number, because the mean of its divisors is an integer number (1350503215200).

Almost surely, 2^{51005561011005} is an apocalyptic number.

It is an amenable number.

51005561011005 is a deficient number, since it is larger than the sum of its proper divisors (35426644761795).

51005561011005 is a wasteful number, since it uses less digits than its factorization.

51005561011005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104610.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 51005561011005 in words is "fifty-one trillion, five billion, five hundred sixty-one million, eleven thousand, five".