1053257 has 2 divisors, whose sum is σ = 1053258. Its totient is φ = 1053256.

The previous prime is 1053233. The next prime is 1053259. The reversal of 1053257 is 7523501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1042441 + 10816 = 1021^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053257 - 2¹⁴ = 1036873 is a prime.

It is a super-2 number, since 2×1053257² = 2218700616098, which contains 22 as substring.

Together with 1053259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1053259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526628 + 526629.

It is an arithmetic number, because the mean of its divisors is an integer number (526629).

2^1053257 is an apocalyptic number.

It is an amenable number.

1053257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053257 is an equidigital number, since it uses as much as digits as its factorization.

1053257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 1053257 is about 1026.2830993444. The cubic root of 1053257 is about 101.7446193630.

Adding to 1053257 its reverse (7523501), we get a palindrome (8576758).

The spelling of 1053257 in words is "one million, fifty-three thousand, two hundred fifty-seven".