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135655083754529 is a prime number
BaseRepresentation
bin11110110110000010101001…
…000101000100010000100001
3122210022111111000210010110212
4132312002221011010100201
5120240033102420121104
61200303030220503505
740400520302413313
oct3666025105042041
9583274430703425
10135655083754529
113a250aa8293359
121326aa450aab95
135a902b134b531
14256da5377d7b3
1510a3a7797a36e
hex7b60a9144421

135655083754529 has 2 divisors, whose sum is σ = 135655083754530. Its totient is φ = 135655083754528.

The previous prime is 135655083754481. The next prime is 135655083754559. The reversal of 135655083754529 is 925457380556531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111339385855504 + 24315697899025 = 10551748^2 + 4931095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135655083754529 is a prime.

It is a super-2 number, since 2×1356550837545292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135655083754559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67827541877264 + 67827541877265.

It is an arithmetic number, because the mean of its divisors is an integer number (67827541877265).

It is a 1-persistent number, because it is pandigital, but 2⋅135655083754529 = 271310167509058 is not.

Almost surely, 2135655083754529 is an apocalyptic number.

It is an amenable number.

135655083754529 is a deficient number, since it is larger than the sum of its proper divisors (1).

135655083754529 is an equidigital number, since it uses as much as digits as its factorization.

135655083754529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400000, while the sum is 68.

The spelling of 135655083754529 in words is "one hundred thirty-five trillion, six hundred fifty-five billion, eighty-three million, seven hundred fifty-four thousand, five hundred twenty-nine".