1006521731 has 2 divisors, whose sum is σ = 1006521732. Its totient is φ = 1006521730.

The previous prime is 1006521721. The next prime is 1006521749. The reversal of 1006521731 is 1371256001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1006521731 - 2¹⁸ = 1006259587 is a prime.

It is a super-2 number, since 2×1006521731² = 2026171989950472722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006521731.

It is not a weakly prime, because it can be changed into another prime (1006521701) 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, 503260865 + 503260866.

It is an arithmetic number, because the mean of its divisors is an integer number (503260866).

Almost surely, 2^1006521731 is an apocalyptic number.

1006521731 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006521731 is an equidigital number, since it uses as much as digits as its factorization.

1006521731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 1006521731 is about 31725.7266425846. The cubic root of 1006521731 is about 1002.1692014959.

Adding to 1006521731 its reverse (1371256001), we get a palindrome (2377777732).

The spelling of 1006521731 in words is "one billion, six million, five hundred twenty-one thousand, seven hundred thirty-one".