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835085002057 is a prime number
BaseRepresentation
bin11000010011011101111…
…00011110010101001001
32221211111111202111211021
430021232330132111021
5102140223230031212
61435344401432441
7114222120253525
oct14115674362511
92854444674737
10835085002057
112a2180793069
12115a1833b721
1360995992417
142c5bdc7ad85
1516ac8563307
hexc26ef1e549

835085002057 has 2 divisors, whose sum is σ = 835085002058. Its totient is φ = 835085002056.

The previous prime is 835085002051. The next prime is 835085002061. The reversal of 835085002057 is 750200580538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522340098361 + 312744903696 = 722731^2 + 559236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-835085002057 is a prime.

It is a super-3 number, since 3×8350850020573 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (835085002051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 417542501028 + 417542501029.

It is an arithmetic number, because the mean of its divisors is an integer number (417542501029).

Almost surely, 2835085002057 is an apocalyptic number.

It is an amenable number.

835085002057 is a deficient number, since it is larger than the sum of its proper divisors (1).

835085002057 is an equidigital number, since it uses as much as digits as its factorization.

835085002057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 835085002057 in words is "eight hundred thirty-five billion, eighty-five million, two thousand, fifty-seven".