258547580441 has 2 divisors, whose sum is σ = 258547580442. Its totient is φ = 258547580440.

The previous prime is 258547580419. The next prime is 258547580449. The reversal of 258547580441 is 144085745852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241965610000 + 16581970441 = 491900^2 + 128771^2 .

It is a cyclic number.

It is not a de Polignac number, because 258547580441 - 2³⁰ = 257473838617 is a prime.

It is not a weakly prime, because it can be changed into another prime (258547580449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129273790220 + 129273790221.

It is an arithmetic number, because the mean of its divisors is an integer number (129273790221).

Almost surely, 2^258547580441 is an apocalyptic number.

It is an amenable number.

258547580441 is a deficient number, since it is larger than the sum of its proper divisors (1).

258547580441 is an equidigital number, since it uses as much as digits as its factorization.

258547580441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7168000, while the sum is 53.

The spelling of 258547580441 in words is "two hundred fifty-eight billion, five hundred forty-seven million, five hundred eighty thousand, four hundred forty-one".