Search a number
-
+
2505820161 = 313257250007
BaseRepresentation
bin1001010101011011…
…1100100000000001
320110122010212001010
42111112330200001
520112442221121
61052352231133
7116045056065
oct22526744001
96418125033
102505820161
111076519859
1259b23b4a9
1330c1b9630
1419ab27aa5
15e9eca376
hex955bc801

2505820161 has 16 divisors (see below), whose sum is σ = 3612115584. Its totient is φ = 1536036864.

The previous prime is 2505820157. The next prime is 2505820171. The reversal of 2505820161 is 1610285052.

It is not a de Polignac number, because 2505820161 - 22 = 2505820157 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2505820151) 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 in 15 ways as a sum of consecutive naturals, for example, 114981 + ... + 135026.

It is an arithmetic number, because the mean of its divisors is an integer number (225757224).

Almost surely, 22505820161 is an apocalyptic number.

It is an amenable number.

2505820161 is a deficient number, since it is larger than the sum of its proper divisors (1106295423).

2505820161 is a wasteful number, since it uses less digits than its factorization.

2505820161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250280.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 2505820161 is about 50058.1677750994. The cubic root of 2505820161 is about 1358.2612151991.

The spelling of 2505820161 in words is "two billion, five hundred five million, eight hundred twenty thousand, one hundred sixty-one".

Divisors: 1 3 13 39 257 771 3341 10023 250007 750021 3250091 9750273 64251799 192755397 835273387 2505820161