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1057212941 is a prime number
BaseRepresentation
bin111111000000111…
…100101000001101
32201200022222111212
4333000330220031
54131121303231
6252523424205
735125106321
oct7700745015
92650288455
101057212941
114a2850804
12256085065
1313b04c6b5
14a05a1981
1562c3342b
hex3f03ca0d

1057212941 has 2 divisors, whose sum is σ = 1057212942. Its totient is φ = 1057212940.

The previous prime is 1057212931. The next prime is 1057212943. The reversal of 1057212941 is 1492127501.

1057212941 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., 737339716 + 319873225 = 27154^2 + 17885^2 .

It is an emirp because it is prime and its reverse (1492127501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057212941 is a prime.

It is a super-2 number, since 2×10572129412 = 2235398405235738962, which contains 22 as substring.

Together with 1057212943, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1057212898 and 1057212907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057212943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528606470 + 528606471.

It is an arithmetic number, because the mean of its divisors is an integer number (528606471).

Almost surely, 21057212941 is an apocalyptic number.

It is an amenable number.

1057212941 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057212941 is an equidigital number, since it uses as much as digits as its factorization.

1057212941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1057212941 is about 32514.8111020193. The cubic root of 1057212941 is about 1018.7184150896.

The spelling of 1057212941 in words is "one billion, fifty-seven million, two hundred twelve thousand, nine hundred forty-one".