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1353968257 is a prime number
BaseRepresentation
bin101000010110011…
…1110101010000001
310111100201201021111
41100230332222001
510233103441012
6342204123321
745360353215
oct12054765201
93440651244
101353968257
11635309434
12319536541
13187682665
14cbb6c945
157dd00ba7
hex50b3ea81

1353968257 has 2 divisors, whose sum is σ = 1353968258. Its totient is φ = 1353968256.

The previous prime is 1353968237. The next prime is 1353968279. The reversal of 1353968257 is 7528693531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1342196496 + 11771761 = 36636^2 + 3431^2 .

It is a cyclic number.

It is not a de Polignac number, because 1353968257 - 27 = 1353968129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1353968257.

It is not a weakly prime, because it can be changed into another prime (1353968237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 676984128 + 676984129.

It is an arithmetic number, because the mean of its divisors is an integer number (676984129).

Almost surely, 21353968257 is an apocalyptic number.

It is an amenable number.

1353968257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1353968257 is an equidigital number, since it uses as much as digits as its factorization.

1353968257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1360800, while the sum is 49.

The square root of 1353968257 is about 36796.3076544373. The cubic root of 1353968257 is about 1106.2912927781.

It can be divided in two parts, 13539 and 68257, that added together give a square (81796 = 2862).

The spelling of 1353968257 in words is "one billion, three hundred fifty-three million, nine hundred sixty-eight thousand, two hundred fifty-seven".