258165600001 has 16 divisors (see below), whose sum is σ = 269315798400. Its totient is φ = 247168230400.

The previous prime is 258165599999. The next prime is 258165600023. The reversal of 258165600001 is 100006561852.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 258165600001 - 2¹ = 258165599999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258165600001.

It is not an unprimeable number, because it can be changed into a prime (258165600101) 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, 4985121 + ... + 5036641.

It is an arithmetic number, because the mean of its divisors is an integer number (16832237400).

Almost surely, 2^258165600001 is an apocalyptic number.

It is an amenable number.

258165600001 is a deficient number, since it is larger than the sum of its proper divisors (11150198399).

258165600001 is a wasteful number, since it uses less digits than its factorization.

258165600001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53000.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 258165600001 in words is "two hundred fifty-eight billion, one hundred sixty-five million, six hundred thousand, one".