1006521749 has 2 divisors, whose sum is σ = 1006521750. Its totient is φ = 1006521748.

The previous prime is 1006521731. The next prime is 1006521787. The reversal of 1006521749 is 9471256001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 844774225 + 161747524 = 29065^2 + 12718^2 .

It is an emirp because it is prime and its reverse (9471256001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006521749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006521709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503260874 + 503260875.

It is an arithmetic number, because the mean of its divisors is an integer number (503260875).

Almost surely, 2^1006521749 is an apocalyptic number.

It is an amenable number.

1006521749 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006521749 is an equidigital number, since it uses as much as digits as its factorization.

1006521749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1006521749 is about 31725.7269262660. The cubic root of 1006521749 is about 1002.1692074699.

The spelling of 1006521749 in words is "one billion, six million, five hundred twenty-one thousand, seven hundred forty-nine".