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90501353513 is a prime number
BaseRepresentation
bin101010001001001001…
…1010001000000101001
322122121012021002211222
41110102103101000221
52440321321303023
6105324210031425
76352464545414
oct1242223210051
9278535232758
1090501353513
113542172243a
1215658878575
1386c395c46c
144547726b7b
15254a3b0cc8
hex15124d1029

90501353513 has 2 divisors, whose sum is σ = 90501353514. Its totient is φ = 90501353512.

The previous prime is 90501353497. The next prime is 90501353533. The reversal of 90501353513 is 31535310509.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89623594384 + 877759129 = 299372^2 + 29627^2 .

It is an emirp because it is prime and its reverse (31535310509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90501353513 - 24 = 90501353497 is a prime.

It is not a weakly prime, because it can be changed into another prime (90501353533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45250676756 + 45250676757.

It is an arithmetic number, because the mean of its divisors is an integer number (45250676757).

Almost surely, 290501353513 is an apocalyptic number.

It is an amenable number.

90501353513 is a deficient number, since it is larger than the sum of its proper divisors (1).

90501353513 is an equidigital number, since it uses as much as digits as its factorization.

90501353513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30375, while the sum is 35.

The spelling of 90501353513 in words is "ninety billion, five hundred one million, three hundred fifty-three thousand, five hundred thirteen".