258582908097 has 12 divisors (see below), whose sum is σ = 373670437140. Its totient is φ = 172313932128.

The previous prime is 258582908071. The next prime is 258582908147. The reversal of 258582908097 is 790809285852.

258582908097 is a `hidden beast` number, since 258 + 5 + 8 + 290 + 8 + 0 + 97 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 240140181681 + 18442726416 = 490041^2 + 135804^2 .

It is not a de Polignac number, because 258582908097 - 2⁶ = 258582908033 is a prime.

It is a super-2 number, since 2×258582908097² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258582908057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6200838 + ... + 6242399.

It is an arithmetic number, because the mean of its divisors is an integer number (31139203095).

Almost surely, 2^258582908097 is an apocalyptic number.

It is an amenable number.

258582908097 is a deficient number, since it is larger than the sum of its proper divisors (115087529043).

258582908097 is a wasteful number, since it uses less digits than its factorization.

258582908097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445552 (or 12445549 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 258582908097 in words is "two hundred fifty-eight billion, five hundred eighty-two million, nine hundred eight thousand, ninety-seven".