258561461 has 2 divisors, whose sum is σ = 258561462. Its totient is φ = 258561460.

The previous prime is 258561437. The next prime is 258561463. The reversal of 258561461 is 164165852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241180900 + 17380561 = 15530^2 + 4169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258561461 is a prime.

It is a super-2 number, since 2×258561461² = 133708058228909042, which contains 22 as substring.

Together with 258561463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258561463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129280730 + 129280731.

It is an arithmetic number, because the mean of its divisors is an integer number (129280731).

Almost surely, 2^258561461 is an apocalyptic number.

It is an amenable number.

258561461 is a deficient number, since it is larger than the sum of its proper divisors (1).

258561461 is an equidigital number, since it uses as much as digits as its factorization.

258561461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The square root of 258561461 is about 16079.8464233960. The cubic root of 258561461 is about 637.0711392676.

It can be divided in two parts, 2585 and 61461, that added together give a palindrome (64046).

The spelling of 258561461 in words is "two hundred fifty-eight million, five hundred sixty-one thousand, four hundred sixty-one".