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2005515434053 is a prime number
BaseRepresentation
bin11101001011110010000…
…010001111100001000101
321002201120211002221010101
4131023302002033201011
5230324243422342203
64133153203524101
7264615353630515
oct35136202174105
97081524087111
102005515434053
117035971a704a
12284823089631
13117172120111
146d0d31a3845
153727c2ea41d
hex1d2f208f845

2005515434053 has 2 divisors, whose sum is σ = 2005515434054. Its totient is φ = 2005515434052.

The previous prime is 2005515434033. The next prime is 2005515434059. The reversal of 2005515434053 is 3504345155002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1460962942209 + 544552491844 = 1208703^2 + 737938^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005515434053 - 29 = 2005515433541 is a prime.

It is a super-3 number, since 3×20055154340533 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005515434059) 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, 1002757717026 + 1002757717027.

It is an arithmetic number, because the mean of its divisors is an integer number (1002757717027).

Almost surely, 22005515434053 is an apocalyptic number.

It is an amenable number.

2005515434053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005515434053 is an equidigital number, since it uses as much as digits as its factorization.

2005515434053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 37.

The spelling of 2005515434053 in words is "two trillion, five billion, five hundred fifteen million, four hundred thirty-four thousand, fifty-three".