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1057038377 is a prime number
BaseRepresentation
bin111111000000010…
…010000000101001
32201200000010001112
4333000102000221
54131100212002
6252520000105
735123451353
oct7700220051
92650003045
101057038377
114a274163a
12256000035
1313acbb0c5
14a05580d3
1562beb852
hex3f012029

1057038377 has 2 divisors, whose sum is σ = 1057038378. Its totient is φ = 1057038376.

The previous prime is 1057038361. The next prime is 1057038383. The reversal of 1057038377 is 7738307501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008443536 + 48594841 = 31756^2 + 6971^2 .

It is an emirp because it is prime and its reverse (7738307501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1057038377 - 24 = 1057038361 is a prime.

It is a super-2 number, since 2×10570383772 = 2234660260901588258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057038397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528519188 + 528519189.

It is an arithmetic number, because the mean of its divisors is an integer number (528519189).

Almost surely, 21057038377 is an apocalyptic number.

It is an amenable number.

1057038377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057038377 is an equidigital number, since it uses as much as digits as its factorization.

1057038377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 1057038377 is about 32512.1266145418. The cubic root of 1057038377 is about 1018.6623427056.

The spelling of 1057038377 in words is "one billion, fifty-seven million, thirty-eight thousand, three hundred seventy-seven".