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528063957761 is a prime number
BaseRepresentation
bin1111010111100110001…
…00001000101100000001
31212111000200111110221112
413223303010020230001
532122433333122021
61042331135133105
753102626403234
oct7536304105401
91774020443845
10528063957761
11193a5037931a
1286413674195
133aa473a0042
141b7b64a141b
15db097ced5b
hex7af3108b01

528063957761 has 2 divisors, whose sum is σ = 528063957762. Its totient is φ = 528063957760.

The previous prime is 528063957749. The next prime is 528063957763. The reversal of 528063957761 is 167759360825.

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., 387187595536 + 140876362225 = 622244^2 + 375335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-528063957761 is a prime.

It is a super-2 number, since 2×5280639577612 (a number of 24 digits) contains 22 as substring.

Together with 528063957763, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 528063957761.

It is not a weakly prime, because it can be changed into another prime (528063957763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 264031978880 + 264031978881.

It is an arithmetic number, because the mean of its divisors is an integer number (264031978881).

Almost surely, 2528063957761 is an apocalyptic number.

It is an amenable number.

528063957761 is a deficient number, since it is larger than the sum of its proper divisors (1).

528063957761 is an equidigital number, since it uses as much as digits as its factorization.

528063957761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19051200, while the sum is 59.

The spelling of 528063957761 in words is "five hundred twenty-eight billion, sixty-three million, nine hundred fifty-seven thousand, seven hundred sixty-one".