51001006000505 has 32 divisors (see below), whose sum is σ = 68125151616768. Its totient is φ = 36338042540800.

The previous prime is 51001006000457. The next prime is 51001006000513. The reversal of 51001006000505 is 50500060010015.

It is not a de Polignac number, because 51001006000505 - 2³⁸ = 50726128093561 is a prime.

It is a super-2 number, since 2×51001006000505² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10948301 + ... + 14895210.

It is an arithmetic number, because the mean of its divisors is an integer number (2128910988024).

Almost surely, 2^{51001006000505} is an apocalyptic number.

51001006000505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51001006000505 is a deficient number, since it is larger than the sum of its proper divisors (17124145616263).

51001006000505 is a wasteful number, since it uses less digits than its factorization.

51001006000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25844257.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 51001006000505 in words is "fifty-one trillion, one billion, six million, five hundred five", and thus it is an aban number.