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1057343761 is a prime number
BaseRepresentation
bin111111000001011…
…100100100010001
32201200120121222001
4333001130210101
54131140000021
6252530314001
735126162605
oct7701344421
92650517861
101057343761
114a2930021
12256128901
1313b0970c6
14a05d7505
1562c5c091
hex3f05c911

1057343761 has 2 divisors, whose sum is σ = 1057343762. Its totient is φ = 1057343760.

The previous prime is 1057343759. The next prime is 1057343773. The reversal of 1057343761 is 1673437501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1052613136 + 4730625 = 32444^2 + 2175^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057343761 - 21 = 1057343759 is a prime.

It is a super-2 number, since 2×10573437612 = 2235951657851250242, which contains 22 as substring.

Together with 1057343759, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1057343761.

It is not a weakly prime, because it can be changed into another prime (1057343731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528671880 + 528671881.

It is an arithmetic number, because the mean of its divisors is an integer number (528671881).

Almost surely, 21057343761 is an apocalyptic number.

It is an amenable number.

1057343761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057343761 is an equidigital number, since it uses as much as digits as its factorization.

1057343761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 1057343761 is about 32516.8227383919. The cubic root of 1057343761 is about 1018.7604322467.

The spelling of 1057343761 in words is "one billion, fifty-seven million, three hundred forty-three thousand, seven hundred sixty-one".