253692257 has 12 divisors (see below), whose sum is σ = 317813076. Its totient is φ = 200723040.

The previous prime is 253692233. The next prime is 253692281. The reversal of 253692257 is 752296352.

253692257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253692233) and next prime (253692281).

It can be written as a sum of positive squares in 2 ways, for example, as 171898321 + 81793936 = 13111^2 + 9044^2 .

It is not a de Polignac number, because 253692257 - 2²² = 249497953 is a prime.

It is a super-2 number, since 2×253692257² = 128719522523508098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253692227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198494 + ... + 199767.

It is an arithmetic number, because the mean of its divisors is an integer number (26484423).

Almost surely, 2^253692257 is an apocalyptic number.

It is an amenable number.

253692257 is a deficient number, since it is larger than the sum of its proper divisors (64120819).

253692257 is a wasteful number, since it uses less digits than its factorization.

253692257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398288 (or 398281 counting only the distinct ones).

The product of its digits is 226800, while the sum is 41.

The square root of 253692257 is about 15927.7197677508. The cubic root of 253692257 is about 633.0466828067.

The spelling of 253692257 in words is "two hundred fifty-three million, six hundred ninety-two thousand, two hundred fifty-seven".