Search a number
-
+
516140262137 is a prime number
BaseRepresentation
bin1111000001011000101…
…10110110001011111001
31211100020200221222112002
413200230112312023321
531424023401342022
61033040033030345
752201302561233
oct7405426661371
91740220858462
10516140262137
111899917a4315
12840463b53b5
1339896ca3746
141ada4a67253
15d65cad3092
hex782c5b62f9

516140262137 has 2 divisors, whose sum is σ = 516140262138. Its totient is φ = 516140262136.

The previous prime is 516140262133. The next prime is 516140262161. The reversal of 516140262137 is 731262041615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409799704336 + 106340557801 = 640156^2 + 326099^2 .

It is a cyclic number.

It is not a de Polignac number, because 516140262137 - 22 = 516140262133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516140262137.

It is not a weakly prime, because it can be changed into another prime (516140262133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258070131068 + 258070131069.

It is an arithmetic number, because the mean of its divisors is an integer number (258070131069).

Almost surely, 2516140262137 is an apocalyptic number.

It is an amenable number.

516140262137 is a deficient number, since it is larger than the sum of its proper divisors (1).

516140262137 is an equidigital number, since it uses as much as digits as its factorization.

516140262137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 516140262137 in words is "five hundred sixteen billion, one hundred forty million, two hundred sixty-two thousand, one hundred thirty-seven".