1001005056051 has 64 divisors (see below), whose sum is σ = 1792535270400. Its totient is φ = 479861475840.

The previous prime is 1001005055993. The next prime is 1001005056089. The reversal of 1001005056051 is 1506505001001.

It is not a de Polignac number, because 1001005056051 - 2⁹ = 1001005055539 is a prime.

It is a super-2 number, since 2×1001005056051² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001005056091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10562425 + ... + 10656773.

It is an arithmetic number, because the mean of its divisors is an integer number (28008363600).

Almost surely, 2^{1001005056051} is an apocalyptic number.

1001005056051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001005056051 is a deficient number, since it is larger than the sum of its proper divisors (791530214349).

1001005056051 is a wasteful number, since it uses less digits than its factorization.

1001005056051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97916.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1001005056051 in words is "one trillion, one billion, five million, fifty-six thousand, fifty-one".