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1005077550053 is a prime number
BaseRepresentation
bin11101010000000110100…
…10100101001111100101
310120002021120201200201102
432220003102211033211
5112431344323100203
62045420512005445
7132420521133653
oct16500322451745
93502246650642
101005077550053
11358284090455
1214295a530885
1373a1720a625
1436908933dd3
151b2273da888
hexea034a53e5

1005077550053 has 2 divisors, whose sum is σ = 1005077550054. Its totient is φ = 1005077550052.

The previous prime is 1005077550049. The next prime is 1005077550121. The reversal of 1005077550053 is 3500557705001.

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., 586912274404 + 418165275649 = 766102^2 + 646657^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005077550053 - 22 = 1005077550049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005077549989 and 1005077550016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005077550553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502538775026 + 502538775027.

It is an arithmetic number, because the mean of its divisors is an integer number (502538775027).

Almost surely, 21005077550053 is an apocalyptic number.

It is an amenable number.

1005077550053 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005077550053 is an equidigital number, since it uses as much as digits as its factorization.

1005077550053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91875, while the sum is 38.

The spelling of 1005077550053 in words is "one trillion, five billion, seventy-seven million, five hundred fifty thousand, fifty-three".