1005010555001 has 16 divisors (see below), whose sum is σ = 1076991285888. Its totient is φ = 935505014400.

The previous prime is 1005010554883. The next prime is 1005010555007. The reversal of 1005010555001 is 1005550105001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1005010555001 - 2¹⁴ = 1005010538617 is a prime.

It is a super-2 number, since 2×1005010555001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005010555007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967895 + ... + 1716636.

It is an arithmetic number, because the mean of its divisors is an integer number (67311955368).

Almost surely, 2^{1005010555001} is an apocalyptic number.

It is an amenable number.

1005010555001 is a deficient number, since it is larger than the sum of its proper divisors (71980730887).

1005010555001 is a wasteful number, since it uses less digits than its factorization.

1005010555001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684992.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 1005010555001 in words is "one trillion, five billion, ten million, five hundred fifty-five thousand, one".