258303601 has 2 divisors, whose sum is σ = 258303602. Its totient is φ = 258303600.

The previous prime is 258303523. The next prime is 258303607. The reversal of 258303601 is 106303852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247747600 + 10556001 = 15740^2 + 3249^2 .

It is a cyclic number.

It is not a de Polignac number, because 258303601 - 2²¹ = 256206449 is a prime.

It is a Chen prime.

It is equal to p_14108383 and since 258303601 and 14108383 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258303601.

It is not a weakly prime, because it can be changed into another prime (258303607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129151800 + 129151801.

It is an arithmetic number, because the mean of its divisors is an integer number (129151801).

Almost surely, 2^258303601 is an apocalyptic number.

It is an amenable number.

258303601 is a deficient number, since it is larger than the sum of its proper divisors (1).

258303601 is an equidigital number, since it uses as much as digits as its factorization.

258303601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 258303601 is about 16071.8263119037. The cubic root of 258303601 is about 636.8592878914.

The spelling of 258303601 in words is "two hundred fifty-eight million, three hundred three thousand, six hundred one".