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85745229953 is a prime number
BaseRepresentation
bin100111111011011010…
…0000110000010000001
322012022201202222212112
41033312310012002001
52401101234324303
6103220225505105
76123563300105
oct1176664060201
9265281688775
1085745229953
1133400a46409
121474baa2195
1381164aac76
144215bc9905
15236ca7e0d8
hex13f6d06081

85745229953 has 2 divisors, whose sum is σ = 85745229954. Its totient is φ = 85745229952.

The previous prime is 85745229851. The next prime is 85745229961. The reversal of 85745229953 is 35992254758.

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., 84627464464 + 1117765489 = 290908^2 + 33433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85745229953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85745229892 and 85745229901.

It is not a weakly prime, because it can be changed into another prime (85745229553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42872614976 + 42872614977.

It is an arithmetic number, because the mean of its divisors is an integer number (42872614977).

Almost surely, 285745229953 is an apocalyptic number.

It is an amenable number.

85745229953 is a deficient number, since it is larger than the sum of its proper divisors (1).

85745229953 is an equidigital number, since it uses as much as digits as its factorization.

85745229953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216000, while the sum is 59.

The spelling of 85745229953 in words is "eighty-five billion, seven hundred forty-five million, two hundred twenty-nine thousand, nine hundred fifty-three".