Search a number
-
+
1005254797 is a prime number
BaseRepresentation
bin111011111010101…
…111100010001101
32121001120020100011
4323322233202031
54024321123142
6243430033221
733624345001
oct7372574215
92531506304
101005254797
11476492898
122407a8811
13130359c31
1497718701
155d3bd417
hex3beaf88d

1005254797 has 2 divisors, whose sum is σ = 1005254798. Its totient is φ = 1005254796.

The previous prime is 1005254791. The next prime is 1005254821. The reversal of 1005254797 is 7974525001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 582787881 + 422466916 = 24141^2 + 20554^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005254797 - 219 = 1004730509 is a prime.

It is a super-2 number, since 2×10052547972 = 2021074413783022418, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005254791) 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, 502627398 + 502627399.

It is an arithmetic number, because the mean of its divisors is an integer number (502627399).

Almost surely, 21005254797 is an apocalyptic number.

It is an amenable number.

1005254797 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005254797 is an equidigital number, since it uses as much as digits as its factorization.

1005254797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 1005254797 is about 31705.7533737964. The cubic root of 1005254797 is about 1001.7485398265.

Adding to 1005254797 its reverse (7974525001), we get a palindrome (8979779798).

The spelling of 1005254797 in words is "one billion, five million, two hundred fifty-four thousand, seven hundred ninety-seven".