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1057038397 is a prime number
BaseRepresentation
bin111111000000010…
…010000000111101
32201200000010002021
4333000102000331
54131100212042
6252520000141
735123451412
oct7700220075
92650003067
101057038397
114a2741658
12256000051
1313acbb10c
14a0558109
1562beb867
hex3f01203d

1057038397 has 2 divisors, whose sum is σ = 1057038398. Its totient is φ = 1057038396.

The previous prime is 1057038383. The next prime is 1057038401. The reversal of 1057038397 is 7938307501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 757955961 + 299082436 = 27531^2 + 17294^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057038397 - 227 = 922820669 is a prime.

It is a super-2 number, since 2×10570383972 = 2234660345464659218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057038377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528519198 + 528519199.

It is an arithmetic number, because the mean of its divisors is an integer number (528519199).

Almost surely, 21057038397 is an apocalyptic number.

It is an amenable number.

1057038397 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057038397 is an equidigital number, since it uses as much as digits as its factorization.

1057038397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 1057038397 is about 32512.1269221194. The cubic root of 1057038397 is about 1018.6623491302.

The spelling of 1057038397 in words is "one billion, fifty-seven million, thirty-eight thousand, three hundred ninety-seven".