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1291584013 is a prime number
BaseRepresentation
bin100110011111100…
…0000001000001101
310100000100021011221
41030333000020031
510121121142023
6332055043341
744002166026
oct11477001015
93300307157
101291584013
1160307a205
12300670551
1317777c3c5
14c376dc4d
15785cb85d
hex4cfc020d

1291584013 has 2 divisors, whose sum is σ = 1291584014. Its totient is φ = 1291584012.

The previous prime is 1291583981. The next prime is 1291584029. The reversal of 1291584013 is 3104851921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1229063364 + 62520649 = 35058^2 + 7907^2 .

It is a cyclic number.

It is not a de Polignac number, because 1291584013 - 25 = 1291583981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1291584013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1291584913) 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, 645792006 + 645792007.

It is an arithmetic number, because the mean of its divisors is an integer number (645792007).

Almost surely, 21291584013 is an apocalyptic number.

It is an amenable number.

1291584013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1291584013 is an equidigital number, since it uses as much as digits as its factorization.

1291584013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 1291584013 is about 35938.6145114138. The cubic root of 1291584013 is about 1089.0326161480.

The spelling of 1291584013 in words is "one billion, two hundred ninety-one million, five hundred eighty-four thousand, thirteen".