1005100010051 has 24 divisors (see below), whose sum is σ = 1171059034320. Its totient is φ = 857223392256.

The previous prime is 1005100010041. The next prime is 1005100010063. The reversal of 1005100010051 is 1500100015001.

It is not a de Polignac number, because 1005100010051 - 2⁶ = 1005100009987 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005100010041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2770310 + ... + 3112043.

It is an arithmetic number, because the mean of its divisors is an integer number (48794126430).

Almost surely, 2^{1005100010051} is an apocalyptic number.

1005100010051 is a deficient number, since it is larger than the sum of its proper divisors (165959024269).

1005100010051 is a wasteful number, since it uses less digits than its factorization.

1005100010051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882435 (or 5882412 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 1005100010051 its reverse (1500100015001), we get a palindrome (2505200025052).

The spelling of 1005100010051 in words is "one trillion, five billion, one hundred million, ten thousand, fifty-one".