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2558176961 is a prime number
BaseRepresentation
bin1001100001111010…
…1010111011000001
320121021122212001212
42120132222323001
520214343130321
61101502335505
7120252100604
oct23036527301
96537585055
102558176961
1110a302a23a
125b488a595
13319cbb6a2
141a3a7633b
15ee8bd55b
hex987aaec1

2558176961 has 2 divisors, whose sum is σ = 2558176962. Its totient is φ = 2558176960.

The previous prime is 2558176927. The next prime is 2558176963. The reversal of 2558176961 is 1696718552.

2558176961 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., 2415231025 + 142945936 = 49145^2 + 11956^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2558176961 is a prime.

It is a Sophie Germain prime.

Together with 2558176963, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2558176963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1279088480 + 1279088481.

It is an arithmetic number, because the mean of its divisors is an integer number (1279088481).

Almost surely, 22558176961 is an apocalyptic number.

It is an amenable number.

2558176961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2558176961 is an equidigital number, since it uses as much as digits as its factorization.

2558176961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 907200, while the sum is 50.

The square root of 2558176961 is about 50578.4238682860. The cubic root of 2558176961 is about 1367.6559559753.

The spelling of 2558176961 in words is "two billion, five hundred fifty-eight million, one hundred seventy-six thousand, nine hundred sixty-one".