1005255505401 has 16 divisors (see below), whose sum is σ = 1569179326848. Its totient is φ = 560421187200.

The previous prime is 1005255505313. The next prime is 1005255505417. The reversal of 1005255505401 is 1045055525001.

It is not a de Polignac number, because 1005255505401 - 2¹⁹ = 1005254981113 is a prime.

It is a super-2 number, since 2×1005255505401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005255503401) 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, 583771210 + ... + 583772931.

It is an arithmetic number, because the mean of its divisors is an integer number (98073707928).

Almost surely, 2^{1005255505401} is an apocalyptic number.

It is an amenable number.

1005255505401 is a deficient number, since it is larger than the sum of its proper divisors (563923821447).

1005255505401 is a wasteful number, since it uses less digits than its factorization.

1005255505401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167544192.

The product of its (nonzero) digits is 25000, while the sum is 33.

The spelling of 1005255505401 in words is "one trillion, five billion, two hundred fifty-five million, five hundred five thousand, four hundred one".