1005352781 has 2 divisors, whose sum is σ = 1005352782. Its totient is φ = 1005352780.

The previous prime is 1005352763. The next prime is 1005352787. The reversal of 1005352781 is 1872535001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 534072100 + 471280681 = 23110^2 + 21709^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005352781 - 2¹⁰ = 1005351757 is a prime.

It is a super-3 number, since 3×1005352781³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005352787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502676390 + 502676391.

It is an arithmetic number, because the mean of its divisors is an integer number (502676391).

Almost surely, 2^1005352781 is an apocalyptic number.

It is an amenable number.

1005352781 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005352781 is an equidigital number, since it uses as much as digits as its factorization.

1005352781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1005352781 is about 31707.2985446569. The cubic root of 1005352781 is about 1001.7810861820.

Adding to 1005352781 its reverse (1872535001), we get a palindrome (2877887782).

The spelling of 1005352781 in words is "one billion, five million, three hundred fifty-two thousand, seven hundred eighty-one".