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1057505357 is a prime number
BaseRepresentation
bin111111000010000…
…100000001001101
32201200212211122002
4333002010001031
54131210132412
6252534002045
735130434666
oct7702040115
92650784562
101057505357
114a2a30477
122561a6325
1313b12281c
14a063a36d
1562c8edc2
hex3f08404d

1057505357 has 2 divisors, whose sum is σ = 1057505358. Its totient is φ = 1057505356.

The previous prime is 1057505341. The next prime is 1057505411. The reversal of 1057505357 is 7535057501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1041094756 + 16410601 = 32266^2 + 4051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057505357 - 24 = 1057505341 is a prime.

It is a super-2 number, since 2×10575053572 = 2236635160167394898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057505357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057505327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528752678 + 528752679.

It is an arithmetic number, because the mean of its divisors is an integer number (528752679).

Almost surely, 21057505357 is an apocalyptic number.

It is an amenable number.

1057505357 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057505357 is an equidigital number, since it uses as much as digits as its factorization.

1057505357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91875, while the sum is 38.

The square root of 1057505357 is about 32519.3074495752. The cubic root of 1057505357 is about 1018.8123293467.

The spelling of 1057505357 in words is "one billion, fifty-seven million, five hundred five thousand, three hundred fifty-seven".