Search a number
-
+
1057344481 is a prime number
BaseRepresentation
bin111111000001011…
…100101111100001
32201200120122221201
4333001130233201
54131140010411
6252530321201
735126164654
oct7701345741
92650518851
101057344481
114a2930616
12256129201
1313b09752b
14a05d789b
1562c5c3c1
hex3f05cbe1

1057344481 has 2 divisors, whose sum is σ = 1057344482. Its totient is φ = 1057344480.

The previous prime is 1057344479. The next prime is 1057344493. The reversal of 1057344481 is 1844437501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 888993856 + 168350625 = 29816^2 + 12975^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057344481 - 21 = 1057344479 is a prime.

It is a super-2 number, since 2×10573444812 = 2235954703002318722, which contains 22 as substring.

Together with 1057344479, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1057344481.

It is not a weakly prime, because it can be changed into another prime (1057344181) 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, 528672240 + 528672241.

It is an arithmetic number, because the mean of its divisors is an integer number (528672241).

Almost surely, 21057344481 is an apocalyptic number.

It is an amenable number.

1057344481 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057344481 is an equidigital number, since it uses as much as digits as its factorization.

1057344481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 1057344481 is about 32516.8338095824. The cubic root of 1057344481 is about 1018.7606634888.

It can be divided in two parts, 105734 and 4481, that added together give a triangular number (110215 = T469).

The spelling of 1057344481 in words is "one billion, fifty-seven million, three hundred forty-four thousand, four hundred eighty-one".