1010064561 has 24 divisors (see below), whose sum is σ = 1516442592. Its totient is φ = 597220800.

The previous prime is 1010064557. The next prime is 1010064569. The reversal of 1010064561 is 1654600101.

1010064561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010064561 - 2² = 1010064557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010064569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19051 + ... + 48816.

It is an arithmetic number, because the mean of its divisors is an integer number (63185108).

Almost surely, 2^1010064561 is an apocalyptic number.

1010064561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010064561 is a deficient number, since it is larger than the sum of its proper divisors (506378031).

1010064561 is a wasteful number, since it uses less digits than its factorization.

1010064561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67933 (or 67922 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1010064561 is about 31781.5128809187. The cubic root of 1010064561 is about 1003.3436611361.

Adding to 1010064561 its reverse (1654600101), we get a palindrome (2664664662).

The spelling of 1010064561 in words is "one billion, ten million, sixty-four thousand, five hundred sixty-one".