Search a number
-
+
2580758661 = 3131710873581
BaseRepresentation
bin1001100111010011…
…0100000010000101
320122212011010100010
42121310310002011
520241133234121
61104030340433
7120645041505
oct23164640205
96585133303
102580758661
1111048531a8
1260035a719
13321896c40
141a6a73a05
1510187e376
hex99d34085

2580758661 has 32 divisors (see below), whose sum is σ = 3928393728. Its totient is φ = 1492945920.

The previous prime is 2580758641. The next prime is 2580758681. The reversal of 2580758661 is 1668570852.

It is an interprime number because it is at equal distance from previous prime (2580758641) and next prime (2580758681).

It is not a de Polignac number, because 2580758661 - 25 = 2580758629 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2580758661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580758641) 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 31 ways as a sum of consecutive naturals, for example, 718891 + ... + 722471.

It is an arithmetic number, because the mean of its divisors is an integer number (122762304).

Almost surely, 22580758661 is an apocalyptic number.

It is an amenable number.

2580758661 is a deficient number, since it is larger than the sum of its proper divisors (1347635067).

2580758661 is a wasteful number, since it uses less digits than its factorization.

2580758661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701.

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 2580758661 is about 50801.1679098030. The cubic root of 2580758661 is about 1371.6683922136.

The spelling of 2580758661 in words is "two billion, five hundred eighty million, seven hundred fifty-eight thousand, six hundred sixty-one".

Divisors: 1 3 13 17 39 51 221 663 1087 3261 3581 10743 14131 18479 42393 46553 55437 60877 139659 182631 240227 720681 791401 2374203 3892547 11677641 50603111 66173299 151809333 198519897 860252887 2580758661