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2045265252013 is a prime number
BaseRepresentation
bin11101110000110011010…
…011110000111010101101
321020112012001101220101101
4131300303103300322231
5232002200401031023
64203325404243101
7300523402540564
oct35606323607255
97215161356341
102045265252013
11719434a07675
12290477240491
1311ab383c8169
1470dc4448bdb
1538306d641ad
hex1dc334f0ead

2045265252013 has 2 divisors, whose sum is σ = 2045265252014. Its totient is φ = 2045265252012.

The previous prime is 2045265251983. The next prime is 2045265252047. The reversal of 2045265252013 is 3102525625402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1588401461124 + 456863790889 = 1260318^2 + 675917^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2045265252013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2045265255013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1022632626006 + 1022632626007.

It is an arithmetic number, because the mean of its divisors is an integer number (1022632626007).

Almost surely, 22045265252013 is an apocalyptic number.

It is an amenable number.

2045265252013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2045265252013 is an equidigital number, since it uses as much as digits as its factorization.

2045265252013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 2045265252013 in words is "two trillion, forty-five billion, two hundred sixty-five million, two hundred fifty-two thousand, thirteen".