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1057135733 is a prime number
BaseRepresentation
bin111111000000101…
…001110001110101
32201200012001121022
4333000221301311
54131111320413
6252522030525
735124335243
oct7700516165
92650161538
101057135733
114a27a87a5
12256048445
1313b023504
14a0581793
1562c1a608
hex3f029c75

1057135733 has 2 divisors, whose sum is σ = 1057135734. Its totient is φ = 1057135732.

The previous prime is 1057135697. The next prime is 1057135741. The reversal of 1057135733 is 3375317501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 877522129 + 179613604 = 29623^2 + 13402^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057135733 - 28 = 1057135477 is a prime.

It is a super-2 number, since 2×10571357332 = 2235071915970894578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057135693 and 1057135702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057137733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528567866 + 528567867.

It is an arithmetic number, because the mean of its divisors is an integer number (528567867).

Almost surely, 21057135733 is an apocalyptic number.

It is an amenable number.

1057135733 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057135733 is an equidigital number, since it uses as much as digits as its factorization.

1057135733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33075, while the sum is 35.

The square root of 1057135733 is about 32513.6238060294. The cubic root of 1057135733 is about 1018.6936155678.

The spelling of 1057135733 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, seven hundred thirty-three".