1066724561 has 18 divisors (see below), whose sum is σ = 1249340022. Its totient is φ = 908140800.

The previous prime is 1066724509. The next prime is 1066724579. The reversal of 1066724561 is 1654276601.

It can be written as a sum of positive squares in 3 ways, for example, as 175403536 + 891321025 = 13244^2 + 29855^2 .

It is not a de Polignac number, because 1066724561 - 2⁶ = 1066724497 is a prime.

It is a super-2 number, since 2×1066724561² = 2275802578081285442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066724501) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2659961 + ... + 2660361.

It is an arithmetic number, because the mean of its divisors is an integer number (69407779).

Almost surely, 2^1066724561 is an apocalyptic number.

It is an amenable number.

1066724561 is a deficient number, since it is larger than the sum of its proper divisors (182615461).

1066724561 is an frugal number, since it uses more digits than its factorization.

1066724561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 1066724561 is about 32660.7495474308. The cubic root of 1066724561 is about 1021.7643949294.

The spelling of 1066724561 in words is "one billion, sixty-six million, seven hundred twenty-four thousand, five hundred sixty-one".