258152850817 has 2 divisors, whose sum is σ = 258152850818. Its totient is φ = 258152850816.

The previous prime is 258152850811. The next prime is 258152850941. The reversal of 258152850817 is 718058251852.

It is a happy number.

258152850817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140204564721 + 117948286096 = 374439^2 + 343436^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258152850817 is a prime.

It is a super-3 number, since 3×258152850817³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (258152850811) 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 as a sum of consecutive naturals, namely, 129076425408 + 129076425409.

It is an arithmetic number, because the mean of its divisors is an integer number (129076425409).

Almost surely, 2^258152850817 is an apocalyptic number.

It is an amenable number.

258152850817 is a deficient number, since it is larger than the sum of its proper divisors (1).

258152850817 is an equidigital number, since it uses as much as digits as its factorization.

258152850817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792000, while the sum is 52.

The spelling of 258152850817 in words is "two hundred fifty-eight billion, one hundred fifty-two million, eight hundred fifty thousand, eight hundred seventeen".