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1607015271361 is a prime number
BaseRepresentation
bin10111011000101001100…
…100110000101111000001
312200121222122202012010111
4113120221210300233001
5202312131402140421
63230130322231321
7224050223266153
oct27305144605701
95617878665114
101607015271361
1156a593253715
1221b54a1b5541
13b8705447c96
1457acc2a0ad3
152bc07417ee1
hex17629930bc1

1607015271361 has 2 divisors, whose sum is σ = 1607015271362. Its totient is φ = 1607015271360.

The previous prime is 1607015271359. The next prime is 1607015271427. The reversal of 1607015271361 is 1631725107061.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1145233864336 + 461781407025 = 1070156^2 + 679545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1607015271361 - 21 = 1607015271359 is a prime.

Together with 1607015271359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1607015271311) 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, 803507635680 + 803507635681.

It is an arithmetic number, because the mean of its divisors is an integer number (803507635681).

Almost surely, 21607015271361 is an apocalyptic number.

It is an amenable number.

1607015271361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1607015271361 is an equidigital number, since it uses as much as digits as its factorization.

1607015271361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 1607015271361 in words is "one trillion, six hundred seven billion, fifteen million, two hundred seventy-one thousand, three hundred sixty-one".