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1035121613 is a prime number
BaseRepresentation
bin111101101100101…
…011001111001101
32200010202121220112
4331230223033031
54104442342423
6250414125405
734436250161
oct7554531715
92603677815
101035121613
11491332209
1224a7b0865
131365b63c6
149b690ca1
1560d1ca78
hex3db2b3cd

1035121613 has 2 divisors, whose sum is σ = 1035121614. Its totient is φ = 1035121612.

The previous prime is 1035121543. The next prime is 1035121631. The reversal of 1035121613 is 3161215301.

Together with next prime (1035121631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 957716809 + 77404804 = 30947^2 + 8798^2 .

It is an emirp because it is prime and its reverse (3161215301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1035121613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1035121663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517560806 + 517560807.

It is an arithmetic number, because the mean of its divisors is an integer number (517560807).

Almost surely, 21035121613 is an apocalyptic number.

It is an amenable number.

1035121613 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035121613 is an equidigital number, since it uses as much as digits as its factorization.

1035121613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1035121613 is about 32173.3059072269. The cubic root of 1035121613 is about 1011.5727589421.

Adding to 1035121613 its reverse (3161215301), we get a palindrome (4196336914).

The spelling of 1035121613 in words is "one billion, thirty-five million, one hundred twenty-one thousand, six hundred thirteen".