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1253055257 is a prime number
BaseRepresentation
bin100101010110000…
…0001101100011001
310020022211210122222
41022230001230121
510031240232012
6324201153425
743023536216
oct11254015431
93208753588
101253055257
11593353a63
122ab78b875
1316c7ac41c
14bc5c0b0d
157501a972
hex4ab01b19

1253055257 has 2 divisors, whose sum is σ = 1253055258. Its totient is φ = 1253055256.

The previous prime is 1253055241. The next prime is 1253055277. The reversal of 1253055257 is 7525503521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 821911561 + 431143696 = 28669^2 + 20764^2 .

It is an emirp because it is prime and its reverse (7525503521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1253055257 - 24 = 1253055241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1253055277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 626527628 + 626527629.

It is an arithmetic number, because the mean of its divisors is an integer number (626527629).

Almost surely, 21253055257 is an apocalyptic number.

It is an amenable number.

1253055257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253055257 is an equidigital number, since it uses as much as digits as its factorization.

1253055257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52500, while the sum is 35.

The square root of 1253055257 is about 35398.5205481811. The cubic root of 1253055257 is about 1078.0942778245.

Adding to 1253055257 its reverse (7525503521), we get a palindrome (8778558778).

The spelling of 1253055257 in words is "one billion, two hundred fifty-three million, fifty-five thousand, two hundred fifty-seven".