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1477083137 is a prime number
BaseRepresentation
bin101100000001010…
…1000000000000001
310210221101121010212
41120002220000001
511011113130022
6402323003505
751413666555
oct13002500001
93727347125
101477083137
11698858472
12352809595
131a702a2ba
14100259865
1589a1e3e2
hex580a8001

1477083137 has 2 divisors, whose sum is σ = 1477083138. Its totient is φ = 1477083136.

The previous prime is 1477083079. The next prime is 1477083149. The reversal of 1477083137 is 7313807741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1476941761 + 141376 = 38431^2 + 376^2 .

It is an emirp because it is prime and its reverse (7313807741) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1477083137 - 218 = 1476820993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1477083094 and 1477083103.

It is not a weakly prime, because it can be changed into another prime (1477083037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 738541568 + 738541569.

It is an arithmetic number, because the mean of its divisors is an integer number (738541569).

Almost surely, 21477083137 is an apocalyptic number.

It is an amenable number.

1477083137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1477083137 is an equidigital number, since it uses as much as digits as its factorization.

1477083137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 41.

The square root of 1477083137 is about 38432.8393044282. The cubic root of 1477083137 is about 1138.8546866581.

The spelling of 1477083137 in words is "one billion, four hundred seventy-seven million, eighty-three thousand, one hundred thirty-seven".