Search a number
-
+
1054035534241 is a prime number
BaseRepresentation
bin11110101011010010110…
…10011110000110100001
310201202122112210222101001
433111221122132012201
5114232131044043431
62124114531312001
7136102661133514
oct17255132360641
93652575728331
101054035534241
11377017642608
1215034244b601
137851a11bc41
1439030adad7b
151c64054ee61
hexf56969e1a1

1054035534241 has 2 divisors, whose sum is σ = 1054035534242. Its totient is φ = 1054035534240.

The previous prime is 1054035534239. The next prime is 1054035534263. The reversal of 1054035534241 is 1424355304501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 715497748641 + 338537785600 = 845871^2 + 581840^2 .

It is an emirp because it is prime and its reverse (1424355304501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1054035534241 - 21 = 1054035534239 is a prime.

It is a super-2 number, since 2×10540355342412 (a number of 25 digits) contains 22 as substring.

Together with 1054035534239, 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 1054035534241.

It is not a weakly prime, because it can be changed into another prime (1054035534281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527017767120 + 527017767121.

It is an arithmetic number, because the mean of its divisors is an integer number (527017767121).

Almost surely, 21054035534241 is an apocalyptic number.

It is an amenable number.

1054035534241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1054035534241 is an equidigital number, since it uses as much as digits as its factorization.

1054035534241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 1054035534241 in words is "one trillion, fifty-four billion, thirty-five million, five hundred thirty-four thousand, two hundred forty-one".