1005009100051 has 6 divisors (see below), whose sum is σ = 1104679424156. Its totient is φ = 913644636300.

The previous prime is 1005009100019. The next prime is 1005009100093. The reversal of 1005009100051 is 1500019005001.

It is not a de Polignac number, because 1005009100051 - 2⁵ = 1005009100019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005009099995 and 1005009100031.

It is not an unprimeable number, because it can be changed into a prime (1005009100451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4152930045 + ... + 4152930286.

Almost surely, 2^{1005009100051} is an apocalyptic number.

1005009100051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005009100051 is a deficient number, since it is larger than the sum of its proper divisors (99670324105).

1005009100051 is an equidigital number, since it uses as much as digits as its factorization.

1005009100051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8305860353 (or 8305860342 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

Multiplying 1005009100051 by its sum of digits (22), we get a palindrome (22110200201122).

The spelling of 1005009100051 in words is "one trillion, five billion, nine million, one hundred thousand, fifty-one".