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527393080309 is a prime number
BaseRepresentation
bin1111010110010110001…
…00111100001111110101
31212102021221010101002111
413223023010330033311
532120100112032214
61042140412011021
753050202134264
oct7531304741765
91772257111074
10527393080309
11193736710147
1286266a60a71
133a96b3b9434
141b7513485db
15daba9615c4
hex7acb13c3f5

527393080309 has 2 divisors, whose sum is σ = 527393080310. Its totient is φ = 527393080308.

The previous prime is 527393080243. The next prime is 527393080337. The reversal of 527393080309 is 903080393725.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351119057809 + 176274022500 = 592553^2 + 419850^2 .

It is a cyclic number.

It is not a de Polignac number, because 527393080309 - 231 = 525245596661 is a prime.

It is a super-2 number, since 2×5273930803092 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (527393080009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263696540154 + 263696540155.

It is an arithmetic number, because the mean of its divisors is an integer number (263696540155).

Almost surely, 2527393080309 is an apocalyptic number.

It is an amenable number.

527393080309 is a deficient number, since it is larger than the sum of its proper divisors (1).

527393080309 is an equidigital number, since it uses as much as digits as its factorization.

527393080309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 49.

The spelling of 527393080309 in words is "five hundred twenty-seven billion, three hundred ninety-three million, eighty thousand, three hundred nine".