258749041 has 2 divisors, whose sum is σ = 258749042. Its totient is φ = 258749040.

The previous prime is 258749009. The next prime is 258749047. The reversal of 258749041 is 140947852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249008400 + 9740641 = 15780^2 + 3121^2 .

It is a cyclic number.

It is not a de Polignac number, because 258749041 - 2⁵ = 258749009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258748985 and 258749003.

It is not a weakly prime, because it can be changed into another prime (258749047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129374520 + 129374521.

It is an arithmetic number, because the mean of its divisors is an integer number (129374521).

Almost surely, 2^258749041 is an apocalyptic number.

It is an amenable number.

258749041 is a deficient number, since it is larger than the sum of its proper divisors (1).

258749041 is an equidigital number, since it uses as much as digits as its factorization.

258749041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 258749041 is about 16085.6781330474. The cubic root of 258749041 is about 637.2251618573.

The spelling of 258749041 in words is "two hundred fifty-eight million, seven hundred forty-nine thousand, forty-one".