258553451557 has 2 divisors, whose sum is σ = 258553451558. Its totient is φ = 258553451556.

The previous prime is 258553451459. The next prime is 258553451573. The reversal of 258553451557 is 755154355852.

It is a happy number.

258553451557 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., 231867288676 + 26686162881 = 481526^2 + 163359^2 .

It is a cyclic number.

It is not a de Polignac number, because 258553451557 - 2¹¹ = 258553449509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258553451498 and 258553451507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258553457557) 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, 129276725778 + 129276725779.

It is an arithmetic number, because the mean of its divisors is an integer number (129276725779).

Almost surely, 2^258553451557 is an apocalyptic number.

It is an amenable number.

258553451557 is a deficient number, since it is larger than the sum of its proper divisors (1).

258553451557 is an equidigital number, since it uses as much as digits as its factorization.

258553451557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21000000, while the sum is 55.

The spelling of 258553451557 in words is "two hundred fifty-eight billion, five hundred fifty-three million, four hundred fifty-one thousand, five hundred fifty-seven".