Search a number
-
+
1057056797 is a prime number
BaseRepresentation
bin111111000000010…
…110100000011101
32201200001001022202
4333000112200131
54131101304142
6252520221245
735123556146
oct7700264035
92650031282
101057056797
114a2754465
1225600a825
1313acc65c4
14a0560acd
1562c02032
hex3f01681d

1057056797 has 2 divisors, whose sum is σ = 1057056798. Its totient is φ = 1057056796.

The previous prime is 1057056703. The next prime is 1057056799. The reversal of 1057056797 is 7976507501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1040320516 + 16736281 = 32254^2 + 4091^2 .

It is an emirp because it is prime and its reverse (7976507501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057056797 is a prime.

It is a super-2 number, since 2×10570567972 = 2234738144167798418, which contains 22 as substring.

Together with 1057056799, 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 (1057056799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528528398 + 528528399.

It is an arithmetic number, because the mean of its divisors is an integer number (528528399).

Almost surely, 21057056797 is an apocalyptic number.

It is an amenable number.

1057056797 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057056797 is an equidigital number, since it uses as much as digits as its factorization.

1057056797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 463050, while the sum is 47.

The square root of 1057056797 is about 32512.4098922242. The cubic root of 1057056797 is about 1018.6682597571.

The spelling of 1057056797 in words is "one billion, fifty-seven million, fifty-six thousand, seven hundred ninety-seven".