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536406316757 is a prime number
BaseRepresentation
bin1111100111001000100…
…11101101011011010101
31220021120002010020002122
413303210103231123111
532242030004114012
61050231024545325
753516435314463
oct7634423553325
91807502106078
10536406316757
11197541422093
1287b61482245
133b77682243c
141bd68407833
15de46da4e72
hex7ce44ed6d5

536406316757 has 2 divisors, whose sum is σ = 536406316758. Its totient is φ = 536406316756.

The previous prime is 536406316751. The next prime is 536406316759. The reversal of 536406316757 is 757613604635.

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., 381836249041 + 154570067716 = 617929^2 + 393154^2 .

It is a cyclic number.

It is not a de Polignac number, because 536406316757 - 210 = 536406315733 is a prime.

It is a super-2 number, since 2×5364063167572 (a number of 24 digits) contains 22 as substring.

Together with 536406316759, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 536406316699 and 536406316708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (536406316751) 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, 268203158378 + 268203158379.

It is an arithmetic number, because the mean of its divisors is an integer number (268203158379).

Almost surely, 2536406316757 is an apocalyptic number.

It is an amenable number.

536406316757 is a deficient number, since it is larger than the sum of its proper divisors (1).

536406316757 is an equidigital number, since it uses as much as digits as its factorization.

536406316757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9525600, while the sum is 53.

The spelling of 536406316757 in words is "five hundred thirty-six billion, four hundred six million, three hundred sixteen thousand, seven hundred fifty-seven".