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2580163400761 is a prime number
BaseRepresentation
bin100101100010111101101…
…110010001010000111001
3100010122212000122020220121
4211202331232101100321
5314233133312311021
65253151040053241
7354260566021162
oct45427556212071
910118760566817
102580163400761
11905271a7a811
12358077604221
1315940162859b
148cc48424769
15471b1609741
hex258bdb91439

2580163400761 has 2 divisors, whose sum is σ = 2580163400762. Its totient is φ = 2580163400760.

The previous prime is 2580163400723. The next prime is 2580163400783. The reversal of 2580163400761 is 1670043610852.

2580163400761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2366539182736 + 213624218025 = 1538356^2 + 462195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2580163400761 - 211 = 2580163398713 is a prime.

It is a super-4 number, since 4×25801634007614 (a number of 51 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (2580163400791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290081700380 + 1290081700381.

It is an arithmetic number, because the mean of its divisors is an integer number (1290081700381).

Almost surely, 22580163400761 is an apocalyptic number.

It is an amenable number.

2580163400761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2580163400761 is an equidigital number, since it uses as much as digits as its factorization.

2580163400761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 2580163400761 in words is "two trillion, five hundred eighty billion, one hundred sixty-three million, four hundred thousand, seven hundred sixty-one".