Search a number
-
+
1005610499969 is a prime number
BaseRepresentation
bin11101010001000110000…
…11100111111110000001
310120010122201120100120012
432220203003213332001
5112433442241444334
62045545430554305
7132436652133545
oct16504303477601
93503581510505
101005610499969
11358527a02629
12142a88b08995
1373aa075b2ca
1436959625a25
151b2590b19ce
hexea230e7f81

1005610499969 has 2 divisors, whose sum is σ = 1005610499970. Its totient is φ = 1005610499968.

The previous prime is 1005610499947. The next prime is 1005610500043. The reversal of 1005610499969 is 9699940165001.

1005610499969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 560604100225 + 445006399744 = 748735^2 + 667088^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005610499969 - 224 = 1005593722753 is a prime.

It is a super-2 number, since 2×10056104999692 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005610499269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502805249984 + 502805249985.

It is an arithmetic number, because the mean of its divisors is an integer number (502805249985).

Almost surely, 21005610499969 is an apocalyptic number.

It is an amenable number.

1005610499969 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005610499969 is an equidigital number, since it uses as much as digits as its factorization.

1005610499969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4723920, while the sum is 59.

The spelling of 1005610499969 in words is "one trillion, five billion, six hundred ten million, four hundred ninety-nine thousand, nine hundred sixty-nine".