258610263182441 has 2 divisors, whose sum is σ = 258610263182442. Its totient is φ = 258610263182440.

The previous prime is 258610263182431. The next prime is 258610263182471. The reversal of 258610263182441 is 144281362016852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196117617640000 + 62492645542441 = 14004200^2 + 7905229^2 .

It is a cyclic number.

It is not a de Polignac number, because 258610263182441 - 2³⁸ = 258335385275497 is a prime.

It is not a weakly prime, because it can be changed into another prime (258610263182431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129305131591220 + 129305131591221.

It is an arithmetic number, because the mean of its divisors is an integer number (129305131591221).

Almost surely, 2^{258610263182441} is an apocalyptic number.

It is an amenable number.

258610263182441 is a deficient number, since it is larger than the sum of its proper divisors (1).

258610263182441 is an equidigital number, since it uses as much as digits as its factorization.

258610263182441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 258610263182441 in words is "two hundred fifty-eight trillion, six hundred ten billion, two hundred sixty-three million, one hundred eighty-two thousand, four hundred forty-one".