Search a number
-
+
513307396949 is a prime number
BaseRepresentation
bin1110111100000111000…
…00010100101101010101
31211001221021102112001012
413132003200110231111
531402223143200244
61031450554542005
752041143612114
oct7360340245525
91731837375035
10513307396949
11188768709816
1283595737905
133953510a359
141abb6729c7b
15d54405589e
hex7783814b55

513307396949 has 2 divisors, whose sum is σ = 513307396950. Its totient is φ = 513307396948.

The previous prime is 513307396883. The next prime is 513307396981. The reversal of 513307396949 is 949693703315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 463191858724 + 50115538225 = 680582^2 + 223865^2 .

It is a cyclic number.

It is not a de Polignac number, because 513307396949 - 212 = 513307392853 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513307396549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256653698474 + 256653698475.

It is an arithmetic number, because the mean of its divisors is an integer number (256653698475).

Almost surely, 2513307396949 is an apocalyptic number.

It is an amenable number.

513307396949 is a deficient number, since it is larger than the sum of its proper divisors (1).

513307396949 is an equidigital number, since it uses as much as digits as its factorization.

513307396949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16533720, while the sum is 59.

The spelling of 513307396949 in words is "five hundred thirteen billion, three hundred seven million, three hundred ninety-six thousand, nine hundred forty-nine".