258163025537 has 2 divisors, whose sum is σ = 258163025538. Its totient is φ = 258163025536.

The previous prime is 258163025531. The next prime is 258163025539. The reversal of 258163025537 is 735520361852.

258163025537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142781202496 + 115381823041 = 377864^2 + 339679^2 .

It is a cyclic number.

It is not a de Polignac number, because 258163025537 - 2³⁰ = 257089283713 is a prime.

Together with 258163025539, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 258163025491 and 258163025500.

It is not a weakly prime, because it can be changed into another prime (258163025531) 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, 129081512768 + 129081512769.

It is an arithmetic number, because the mean of its divisors is an integer number (129081512769).

Almost surely, 2^258163025537 is an apocalyptic number.

It is an amenable number.

258163025537 is a deficient number, since it is larger than the sum of its proper divisors (1).

258163025537 is an equidigital number, since it uses as much as digits as its factorization.

258163025537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 258163025537 in words is "two hundred fifty-eight billion, one hundred sixty-three million, twenty-five thousand, five hundred thirty-seven".