258605761 has 2 divisors, whose sum is σ = 258605762. Its totient is φ = 258605760.

The previous prime is 258605759. The next prime is 258605801. The reversal of 258605761 is 167506852.

It is an a-pointer prime, because the next prime (258605801) can be obtained adding 258605761 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181710400 + 76895361 = 13480^2 + 8769^2 .

It is a cyclic number.

It is not a de Polignac number, because 258605761 - 2¹ = 258605759 is a prime.

Together with 258605759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (258605861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129302880 + 129302881.

It is an arithmetic number, because the mean of its divisors is an integer number (129302881).

Almost surely, 2^258605761 is an apocalyptic number.

It is an amenable number.

258605761 is a deficient number, since it is larger than the sum of its proper divisors (1).

258605761 is an equidigital number, since it uses as much as digits as its factorization.

258605761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 258605761 is about 16081.2238651167. The cubic root of 258605761 is about 637.1075208688.

The spelling of 258605761 in words is "two hundred fifty-eight million, six hundred five thousand, seven hundred sixty-one".