258405824461 has 2 divisors, whose sum is σ = 258405824462. Its totient is φ = 258405824460.

The previous prime is 258405824407. The next prime is 258405824491. The reversal of 258405824461 is 164428504852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187493330025 + 70912494436 = 433005^2 + 266294^2 .

It is a cyclic number.

It is not a de Polignac number, because 258405824461 - 2²³ = 258397435853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258405824491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129202912230 + 129202912231.

It is an arithmetic number, because the mean of its divisors is an integer number (129202912231).

Almost surely, 2^258405824461 is an apocalyptic number.

It is an amenable number.

258405824461 is a deficient number, since it is larger than the sum of its proper divisors (1).

258405824461 is an equidigital number, since it uses as much as digits as its factorization.

258405824461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2457600, while the sum is 49.

The spelling of 258405824461 in words is "two hundred fifty-eight billion, four hundred five million, eight hundred twenty-four thousand, four hundred sixty-one".