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2457980801 is a prime number
BaseRepresentation
bin1001001010000001…
…1100111110000001
320100022010100202222
42102200130332001
520013220341201
61043523020425
7114624330533
oct22240347601
96308110688
102457980801
1110515143a1
1258720a715
13302309813
14194633853
15e5bca91b
hex9281cf81

2457980801 has 2 divisors, whose sum is σ = 2457980802. Its totient is φ = 2457980800.

The previous prime is 2457980783. The next prime is 2457980803. The reversal of 2457980801 is 1080897542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2442731776 + 15249025 = 49424^2 + 3905^2 .

It is a cyclic number.

It is not a de Polignac number, because 2457980801 - 222 = 2453786497 is a prime.

Together with 2457980803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2457980803) 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 as a sum of consecutive naturals, namely, 1228990400 + 1228990401.

It is an arithmetic number, because the mean of its divisors is an integer number (1228990401).

Almost surely, 22457980801 is an apocalyptic number.

It is an amenable number.

2457980801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2457980801 is an equidigital number, since it uses as much as digits as its factorization.

2457980801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 2457980801 is about 49578.0274012591. The cubic root of 2457980801 is about 1349.5619614045.

The spelling of 2457980801 in words is "two billion, four hundred fifty-seven million, nine hundred eighty thousand, eight hundred one".