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51557081 is a prime number
BaseRepresentation
bin1100010010101…
…1001011011001
310121000101000112
43010223023121
5101144311311
65041014105
71164141122
oct304531331
9117011015
1051557081
1127114664
1215324335
13a8b2064
146bc1049
1547d628b
hex312b2d9

51557081 has 2 divisors, whose sum is σ = 51557082. Its totient is φ = 51557080.

The previous prime is 51557057. The next prime is 51557087. The reversal of 51557081 is 18075515.

It is a happy number.

51557081 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., 49843600 + 1713481 = 7060^2 + 1309^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51557081 is a prime.

It is a super-2 number, since 2×515570812 = 5316265202481122, which contains 22 as substring.

It is a Chen prime.

It is equal to p3088850 and since 51557081 and 3088850 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (51557087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25778540 + 25778541.

It is an arithmetic number, because the mean of its divisors is an integer number (25778541).

Almost surely, 251557081 is an apocalyptic number.

It is an amenable number.

51557081 is a deficient number, since it is larger than the sum of its proper divisors (1).

51557081 is an equidigital number, since it uses as much as digits as its factorization.

51557081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 32.

The square root of 51557081 is about 7180.3259675310. The cubic root of 51557081 is about 372.1883488527.

The spelling of 51557081 in words is "fifty-one million, five hundred fifty-seven thousand, eighty-one".