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1053332135129 is a prime number
BaseRepresentation
bin11110101001111110111…
…11001101110011011001
310201200211112020121012002
433110333133031303121
5114224211011311004
62123521043130345
7136046360264321
oct17247737156331
93650745217162
101053332135129
1137679659142a
121501869739b5
137843748c651
1438da551a281
151c5ed90a61e
hexf53f7cdcd9

1053332135129 has 2 divisors, whose sum is σ = 1053332135130. Its totient is φ = 1053332135128.

The previous prime is 1053332135033. The next prime is 1053332135153. The reversal of 1053332135129 is 9215312333501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 570478090000 + 482854045129 = 755300^2 + 694877^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053332135129 - 220 = 1053331086553 is a prime.

It is a super-2 number, since 2×10533321351292 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1053332135092 and 1053332135101.

It is not a weakly prime, because it can be changed into another prime (1053332135629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526666067564 + 526666067565.

It is an arithmetic number, because the mean of its divisors is an integer number (526666067565).

Almost surely, 21053332135129 is an apocalyptic number.

It is an amenable number.

1053332135129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053332135129 is an equidigital number, since it uses as much as digits as its factorization.

1053332135129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 38.

The spelling of 1053332135129 in words is "one trillion, fifty-three billion, three hundred thirty-two million, one hundred thirty-five thousand, one hundred twenty-nine".