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1013216657 is a prime number
BaseRepresentation
bin111100011001000…
…111010110010001
32121121112201221212
4330121013112101
54033340413112
6244312425505
734052125265
oct7431072621
92547481855
101013216657
1147aa30742
122433a8295
13131bb6bab
14987cc0a5
155de42522
hex3c647591

1013216657 has 2 divisors, whose sum is σ = 1013216658. Its totient is φ = 1013216656.

The previous prime is 1013216627. The next prime is 1013216671. The reversal of 1013216657 is 7566123101.

1013216657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1013212561 + 4096 = 31831^2 + 64^2 .

It is an emirp because it is prime and its reverse (7566123101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013216657 - 216 = 1013151121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013216627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506608328 + 506608329.

It is an arithmetic number, because the mean of its divisors is an integer number (506608329).

Almost surely, 21013216657 is an apocalyptic number.

It is an amenable number.

1013216657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013216657 is an equidigital number, since it uses as much as digits as its factorization.

1013216657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1013216657 is about 31831.0643397295. The cubic root of 1013216657 is about 1004.3862847098.

Adding to 1013216657 its reverse (7566123101), we get a palindrome (8579339758).

The spelling of 1013216657 in words is "one billion, thirteen million, two hundred sixteen thousand, six hundred fifty-seven".