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1057356809 is a prime number
BaseRepresentation
bin111111000001011…
…111110000001001
32201200121021212022
4333001133300021
54131140404214
6252530454225
735126245625
oct7701376011
92650537768
101057356809
114a2939903
12256134375
1313b0a0022
14a05dc185
1562c60d8e
hex3f05fc09

1057356809 has 2 divisors, whose sum is σ = 1057356810. Its totient is φ = 1057356808.

The previous prime is 1057356767. The next prime is 1057356829. The reversal of 1057356809 is 9086537501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 802475584 + 254881225 = 28328^2 + 15965^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057356809 - 212 = 1057352713 is a prime.

It is a super-2 number, since 2×10573568092 = 2236006843077324962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057356809.

It is not a weakly prime, because it can be changed into another prime (1057356829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528678404 + 528678405.

It is an arithmetic number, because the mean of its divisors is an integer number (528678405).

Almost surely, 21057356809 is an apocalyptic number.

It is an amenable number.

1057356809 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057356809 is an equidigital number, since it uses as much as digits as its factorization.

1057356809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 1057356809 is about 32517.0233723814. The cubic root of 1057356809 is about 1018.7646228521.

The spelling of 1057356809 in words is "one billion, fifty-seven million, three hundred fifty-six thousand, eight hundred nine".