258552406909 has 2 divisors, whose sum is σ = 258552406910. Its totient is φ = 258552406908.

The previous prime is 258552406843. The next prime is 258552406919. The reversal of 258552406909 is 909604255852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176643684100 + 81908722809 = 420290^2 + 286197^2 .

It is a cyclic number.

It is not a de Polignac number, because 258552406909 - 2⁹ = 258552406397 is a prime.

It is a super-2 number, since 2×258552406909² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258552406909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258552406919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129276203454 + 129276203455.

It is an arithmetic number, because the mean of its divisors is an integer number (129276203455).

Almost surely, 2^258552406909 is an apocalyptic number.

It is an amenable number.

258552406909 is a deficient number, since it is larger than the sum of its proper divisors (1).

258552406909 is an equidigital number, since it uses as much as digits as its factorization.

258552406909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776000, while the sum is 55.

The spelling of 258552406909 in words is "two hundred fifty-eight billion, five hundred fifty-two million, four hundred six thousand, nine hundred nine".