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820789601 is a prime number
BaseRepresentation
bin110000111011000…
…100000101100001
32010012110102122212
4300323010011201
53140110231401
6213240211505
726224411412
oct6073040541
92105412585
10820789601
11391350415
121aaa69b95
13101081828
147b01b809
154c0d1dbb
hex30ec4161

820789601 has 2 divisors, whose sum is σ = 820789602. Its totient is φ = 820789600.

The previous prime is 820789591. The next prime is 820789609. The reversal of 820789601 is 106987028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 609843025 + 210946576 = 24695^2 + 14524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820789601 is a prime.

It is not a weakly prime, because it can be changed into another prime (820789609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410394800 + 410394801.

It is an arithmetic number, because the mean of its divisors is an integer number (410394801).

Almost surely, 2820789601 is an apocalyptic number.

It is an amenable number.

820789601 is a deficient number, since it is larger than the sum of its proper divisors (1).

820789601 is an equidigital number, since it uses as much as digits as its factorization.

820789601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 820789601 is about 28649.4258406691. The cubic root of 820789601 is about 936.2904963283.

The spelling of 820789601 in words is "eight hundred twenty million, seven hundred eighty-nine thousand, six hundred one".