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1057135799 is a prime number
BaseRepresentation
bin111111000000101…
…001110010110111
32201200012001200202
4333000221302313
54131111321144
6252522031115
735124335366
oct7700516267
92650161622
101057135799
114a27a8855
1225604849b
1313b023555
14a05817dd
1562c1a64e
hex3f029cb7

1057135799 has 2 divisors, whose sum is σ = 1057135800. Its totient is φ = 1057135798.

The previous prime is 1057135771. The next prime is 1057135801. The reversal of 1057135799 is 9975317501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1057135799 - 228 = 788700343 is a prime.

It is a super-2 number, since 2×10571357992 = 2235072195054736802, which contains 22 as substring.

Together with 1057135801, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1087135799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528567899 + 528567900.

It is an arithmetic number, because the mean of its divisors is an integer number (528567900).

Almost surely, 21057135799 is an apocalyptic number.

1057135799 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057135799 is an equidigital number, since it uses as much as digits as its factorization.

1057135799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 297675, while the sum is 47.

The square root of 1057135799 is about 32513.6248209885. The cubic root of 1057135799 is about 1018.6936367678.

The spelling of 1057135799 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, seven hundred ninety-nine".