258282351041 has 32 divisors (see below), whose sum is σ = 321350779008. Its totient is φ = 203949757440.

The previous prime is 258282351013. The next prime is 258282351049. The reversal of 258282351041 is 140153282852.

258282351041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-258282351041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258282351041.

It is not an unprimeable number, because it can be changed into a prime (258282351049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18767735 + ... + 18781491.

It is an arithmetic number, because the mean of its divisors is an integer number (10042211844).

Almost surely, 2^258282351041 is an apocalyptic number.

It is an amenable number.

258282351041 is a deficient number, since it is larger than the sum of its proper divisors (63068427967).

258282351041 is a wasteful number, since it uses less digits than its factorization.

258282351041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21521.

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 258282351041 in words is "two hundred fifty-eight billion, two hundred eighty-two million, three hundred fifty-one thousand, forty-one".