Search a number
-
+
1057135697 is a prime number
BaseRepresentation
bin111111000000101…
…001110001010001
32201200012001112222
4333000221301101
54131111320242
6252522030425
735124335162
oct7700516121
92650161488
101057135697
114a27a8772
12256048415
1313b0234a7
14a0581769
1562c1a5d2
hex3f029c51

1057135697 has 2 divisors, whose sum is σ = 1057135698. Its totient is φ = 1057135696.

The previous prime is 1057135663. The next prime is 1057135733. The reversal of 1057135697 is 7965317501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1056510016 + 625681 = 32504^2 + 791^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057135697 - 28 = 1057135441 is a prime.

It is a super-2 number, since 2×10571356972 = 2235071763743351618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057135657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528567848 + 528567849.

It is an arithmetic number, because the mean of its divisors is an integer number (528567849).

Almost surely, 21057135697 is an apocalyptic number.

It is an amenable number.

1057135697 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057135697 is an equidigital number, since it uses as much as digits as its factorization.

1057135697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 198450, while the sum is 44.

The square root of 1057135697 is about 32513.6232524153. The cubic root of 1057135697 is about 1018.6936040042.

The spelling of 1057135697 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, six hundred ninety-seven".