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1057399241 is a prime number
BaseRepresentation
bin111111000001101…
…010000111001001
32201200200110001212
4333001222013021
54131143233431
6252531422505
735126513423
oct7701520711
92650613055
101057399241
114a2968778
12256154a35
1313b0b6432
14a060d813
1562c6d72b
hex3f06a1c9

1057399241 has 2 divisors, whose sum is σ = 1057399242. Its totient is φ = 1057399240.

The previous prime is 1057399223. The next prime is 1057399249. The reversal of 1057399241 is 1429937501.

1057399241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 545689600 + 511709641 = 23360^2 + 22621^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057399241 - 218 = 1057137097 is a prime.

It is a super-2 number, since 2×10573992412 = 2236186309734752162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057399249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528699620 + 528699621.

It is an arithmetic number, because the mean of its divisors is an integer number (528699621).

Almost surely, 21057399241 is an apocalyptic number.

It is an amenable number.

1057399241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057399241 is an equidigital number, since it uses as much as digits as its factorization.

1057399241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 1057399241 is about 32517.6758240807. The cubic root of 1057399241 is about 1018.7782504317.

The spelling of 1057399241 in words is "one billion, fifty-seven million, three hundred ninety-nine thousand, two hundred forty-one".