Search a number
-
+
1005037137859 is a prime number
BaseRepresentation
bin11101010000000001110…
…00011010111111000011
310120002011202200112121111
432220000320122333003
5112431304001402414
62045412505504151
7132416520501106
oct16500070327703
93502152615544
101005037137859
11358263299147
12142948aa2057
1373a0ba2b2a1
143690341473d
151b223aa68c4
hexea00e1afc3

1005037137859 has 2 divisors, whose sum is σ = 1005037137860. Its totient is φ = 1005037137858.

The previous prime is 1005037137821. The next prime is 1005037137953. The reversal of 1005037137859 is 9587317305001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1005037137859 - 213 = 1005037129667 is a prime.

It is a super-2 number, since 2×10050371378592 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005037131859) 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, 502518568929 + 502518568930.

It is an arithmetic number, because the mean of its divisors is an integer number (502518568930).

Almost surely, 21005037137859 is an apocalyptic number.

1005037137859 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005037137859 is an equidigital number, since it uses as much as digits as its factorization.

1005037137859 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 49.

The spelling of 1005037137859 in words is "one trillion, five billion, thirty-seven million, one hundred thirty-seven thousand, eight hundred fifty-nine".