2085500257 has 2 divisors, whose sum is σ = 2085500258. Its totient is φ = 2085500256.

The previous prime is 2085500149. The next prime is 2085500267. The reversal of 2085500257 is 7520055802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1323795456 + 761704801 = 36384^2 + 27599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2085500257 - 2¹¹ = 2085498209 is a prime.

It is a super-2 number, since 2×2085500257² = 8698622643894132098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2085500267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1042750128 + 1042750129.

It is an arithmetic number, because the mean of its divisors is an integer number (1042750129).

Almost surely, 2^2085500257 is an apocalyptic number.

It is an amenable number.

2085500257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2085500257 is an equidigital number, since it uses as much as digits as its factorization.

2085500257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 2085500257 is about 45667.2777489528. The cubic root of 2085500257 is about 1277.6250429646.

The spelling of 2085500257 in words is "two billion, eighty-five million, five hundred thousand, two hundred fifty-seven".