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1057646477 is a prime number
BaseRepresentation
bin111111000010100…
…110011110001101
32201201011000012202
4333002212132031
54131224141402
6252541011245
735131563266
oct7702463615
92651130182
101057646477
114a30174a8
12256253b25
1313b171b24
14a067596d
1562cbbb02
hex3f0a678d

1057646477 has 2 divisors, whose sum is σ = 1057646478. Its totient is φ = 1057646476.

The previous prime is 1057646423. The next prime is 1057646479. The reversal of 1057646477 is 7746467501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001785801 + 55860676 = 31651^2 + 7474^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057646477 - 210 = 1057645453 is a prime.

It is a super-2 number, since 2×10576464772 = 2237232140621023058, which contains 22 as substring.

Together with 1057646479, 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 (1057646479) 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, 528823238 + 528823239.

It is an arithmetic number, because the mean of its divisors is an integer number (528823239).

Almost surely, 21057646477 is an apocalyptic number.

It is an amenable number.

1057646477 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057646477 is an equidigital number, since it uses as much as digits as its factorization.

1057646477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 47.

The square root of 1057646477 is about 32521.4771650981. The cubic root of 1057646477 is about 1018.8576461860.

The spelling of 1057646477 in words is "one billion, fifty-seven million, six hundred forty-six thousand, four hundred seventy-seven".