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1057135477 is a prime number
BaseRepresentation
bin111111000000101…
…001101101110101
32201200012001020211
4333000221231311
54131111313402
6252522025421
735124334426
oct7700515565
92650161224
101057135477
114a27a8592
12256048271
1313b023368
14a058164d
1562c1a4d7
hex3f029b75

1057135477 has 2 divisors, whose sum is σ = 1057135478. Its totient is φ = 1057135476.

The previous prime is 1057135441. The next prime is 1057135489. The reversal of 1057135477 is 7745317501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900360036 + 156775441 = 30006^2 + 12521^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057135477 is a prime.

It is a super-2 number, since 2×10571354772 = 2235070833464035058, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057136477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528567738 + 528567739.

It is an arithmetic number, because the mean of its divisors is an integer number (528567739).

Almost surely, 21057135477 is an apocalyptic number.

It is an amenable number.

1057135477 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057135477 is an equidigital number, since it uses as much as digits as its factorization.

1057135477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102900, while the sum is 40.

The square root of 1057135477 is about 32513.6198692179. The cubic root of 1057135477 is about 1018.6935333376.

The spelling of 1057135477 in words is "one billion, fifty-seven million, one hundred thirty-five thousand, four hundred seventy-seven".