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57541331461 is a prime number
BaseRepresentation
bin110101100101101110…
…110000101000000101
312111112011011111120111
4311211232300220011
51420321040101321
642233434233021
74104633150565
oct654556605005
9174464144514
1057541331461
1122448643a99
12b19a585771
13557026c633
142adc120da5
15176b98d5e1
hexd65bb0a05

57541331461 has 2 divisors, whose sum is σ = 57541331462. Its totient is φ = 57541331460.

The previous prime is 57541331459. The next prime is 57541331467. The reversal of 57541331461 is 16413314575.

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., 57165940836 + 375390625 = 239094^2 + 19375^2 .

It is a cyclic number.

It is not a de Polignac number, because 57541331461 - 21 = 57541331459 is a prime.

It is a super-2 number, since 2×575413314612 (a number of 22 digits) contains 22 as substring.

Together with 57541331459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57541331467) 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, 28770665730 + 28770665731.

It is an arithmetic number, because the mean of its divisors is an integer number (28770665731).

Almost surely, 257541331461 is an apocalyptic number.

It is an amenable number.

57541331461 is a deficient number, since it is larger than the sum of its proper divisors (1).

57541331461 is an equidigital number, since it uses as much as digits as its factorization.

57541331461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 151200, while the sum is 40.

The spelling of 57541331461 in words is "fifty-seven billion, five hundred forty-one million, three hundred thirty-one thousand, four hundred sixty-one".