258887616101 has 8 divisors (see below), whose sum is σ = 260444129400. Its totient is φ = 257332489920.

The previous prime is 258887616047. The next prime is 258887616181. The reversal of 258887616101 is 101616788852.

It is a Cunningham number, because it is equal to 508810²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 2852628100 + 256034988001 = 53410^2 + 505999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 258887616101 - 2⁶ = 258887616037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258887616181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28835 + ... + 720143.

It is an arithmetic number, because the mean of its divisors is an integer number (32555516175).

Almost surely, 2^258887616101 is an apocalyptic number.

It is an amenable number.

258887616101 is a deficient number, since it is larger than the sum of its proper divisors (1556513299).

258887616101 is a wasteful number, since it uses less digits than its factorization.

258887616101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693559.

The product of its (nonzero) digits is 1290240, while the sum is 53.

The spelling of 258887616101 in words is "two hundred fifty-eight billion, eight hundred eighty-seven million, six hundred sixteen thousand, one hundred one".