258049261 has 2 divisors, whose sum is σ = 258049262. Its totient is φ = 258049260.

The previous prime is 258049249. The next prime is 258049271. The reversal of 258049261 is 162940852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255392361 + 2656900 = 15981^2 + 1630^2 .

It is a cyclic number.

It is not a de Polignac number, because 258049261 - 2¹⁷ = 257918189 is a prime.

It is a super-2 number, since 2×258049261² = 133178842205292242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258049261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258049271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129024630 + 129024631.

It is an arithmetic number, because the mean of its divisors is an integer number (129024631).

Almost surely, 2^258049261 is an apocalyptic number.

It is an amenable number.

258049261 is a deficient number, since it is larger than the sum of its proper divisors (1).

258049261 is an equidigital number, since it uses as much as digits as its factorization.

258049261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 258049261 is about 16063.9117589708. The cubic root of 258049261 is about 636.6501902969.

The spelling of 258049261 in words is "two hundred fifty-eight million, forty-nine thousand, two hundred sixty-one".