905255257 has 2 divisors, whose sum is σ = 905255258. Its totient is φ = 905255256.

The previous prime is 905255251. The next prime is 905255279. The reversal of 905255257 is 752552509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 562116681 + 343138576 = 23709^2 + 18524^2 .

It is a cyclic number.

It is not a de Polignac number, because 905255257 - 2¹⁵ = 905222489 is a prime.

It is a super-2 number, since 2×905255257² = 1638974160652272098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (905255251) 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, 452627628 + 452627629.

It is an arithmetic number, because the mean of its divisors is an integer number (452627629).

Almost surely, 2^905255257 is an apocalyptic number.

It is an amenable number.

905255257 is a deficient number, since it is larger than the sum of its proper divisors (1).

905255257 is an equidigital number, since it uses as much as digits as its factorization.

905255257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157500, while the sum is 40.

The square root of 905255257 is about 30087.4601287646. The cubic root of 905255257 is about 967.3649590404.

The spelling of 905255257 in words is "nine hundred five million, two hundred fifty-five thousand, two hundred fifty-seven".