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1057013 is a prime number
BaseRepresentation
bin100000010000011110101
31222200221122
410002003311
5232311023
634353325
711661446
oct4020365
91880848
101057013
11662171
1242b845
132b0169
141d72cd
1515d2c8
hex1020f5

1057013 has 2 divisors, whose sum is σ = 1057014. Its totient is φ = 1057012.

The previous prime is 1057003. The next prime is 1057019. The reversal of 1057013 is 3107501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996004 + 61009 = 998^2 + 247^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057013 - 26 = 1056949 is a prime.

It is a super-2 number, since 2×10570132 = 2234552964338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1056982 and 1057000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528506 + 528507.

It is an arithmetic number, because the mean of its divisors is an integer number (528507).

21057013 is an apocalyptic number.

It is an amenable number.

1057013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057013 is an equidigital number, since it uses as much as digits as its factorization.

1057013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 1057013 is about 1028.1113752897. Note that the first 3 decimals coincide. The cubic root of 1057013 is about 101.8654190746.

The spelling of 1057013 in words is "one million, fifty-seven thousand, thirteen".