258142118561 has 2 divisors, whose sum is σ = 258142118562. Its totient is φ = 258142118560.

The previous prime is 258142118467. The next prime is 258142118651. The reversal of 258142118561 is 165811241852.

Together with next prime (258142118651) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231607337536 + 26534781025 = 481256^2 + 162895^2 .

It is a cyclic number.

It is not a de Polignac number, because 258142118561 - 2¹⁸ = 258141856417 is a prime.

It is a super-2 number, since 2×258142118561² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (258142118261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129071059280 + 129071059281.

It is an arithmetic number, because the mean of its divisors is an integer number (129071059281).

Almost surely, 2^258142118561 is an apocalyptic number.

It is an amenable number.

258142118561 is a deficient number, since it is larger than the sum of its proper divisors (1).

258142118561 is an equidigital number, since it uses as much as digits as its factorization.

258142118561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 153600, while the sum is 44.

The spelling of 258142118561 in words is "two hundred fifty-eight billion, one hundred forty-two million, one hundred eighteen thousand, five hundred sixty-one".