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1057613 is a prime number
BaseRepresentation
bin100000010001101001101
31222201202212
410002031031
5232320423
634400205
711663264
oct4021515
91881685
101057613
11662667
12430065
132b050b
141d75db
1515d578
hex10234d

1057613 has 2 divisors, whose sum is σ = 1057614. Its totient is φ = 1057612.

The previous prime is 1057607. The next prime is 1057631. The reversal of 1057613 is 3167501.

Together with next prime (1057631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 619369 + 438244 = 787^2 + 662^2 .

It is an emirp because it is prime and its reverse (3167501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1057613 - 210 = 1056589 is a prime.

It is a super-2 number, since 2×10576132 = 2237090515538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528806 + 528807.

It is an arithmetic number, because the mean of its divisors is an integer number (528807).

21057613 is an apocalyptic number.

It is an amenable number.

1057613 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057613 is an equidigital number, since it uses as much as digits as its factorization.

1057613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 1057613 is about 1028.4031310726. The cubic root of 1057613 is about 101.8846896325.

The spelling of 1057613 in words is "one million, fifty-seven thousand, six hundred thirteen".