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137253257269 is a prime number
BaseRepresentation
bin111111111010011101…
…1101000000000110101
3111010021102012220001221
41333310323220000311
54222043313213034
6143015301350341
712626156303002
oct1776473500065
9433242186057
10137253257269
1153232981727
1222725a083b1
13cc347c093b
14690090c8a9
153884a06bb4
hex1ff4ee8035

137253257269 has 2 divisors, whose sum is σ = 137253257270. Its totient is φ = 137253257268.

The previous prime is 137253257209. The next prime is 137253257377. The reversal of 137253257269 is 962752352731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122666656644 + 14586600625 = 350238^2 + 120775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137253257269 is a prime.

It is a super-2 number, since 2×1372532572692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137253257209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68626628634 + 68626628635.

It is an arithmetic number, because the mean of its divisors is an integer number (68626628635).

Almost surely, 2137253257269 is an apocalyptic number.

It is an amenable number.

137253257269 is a deficient number, since it is larger than the sum of its proper divisors (1).

137253257269 is an equidigital number, since it uses as much as digits as its factorization.

137253257269 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4762800, while the sum is 52.

The spelling of 137253257269 in words is "one hundred thirty-seven billion, two hundred fifty-three million, two hundred fifty-seven thousand, two hundred sixty-nine".