1007670561 has 16 divisors (see below), whose sum is σ = 1352486784. Its totient is φ = 667332864.

The previous prime is 1007670541. The next prime is 1007670577. The reversal of 1007670561 is 1650767001.

1007670561 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 1007670561 - 2⁶ = 1007670497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007670541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311625 + ... + 314841.

It is an arithmetic number, because the mean of its divisors is an integer number (84530424).

Almost surely, 2^1007670561 is an apocalyptic number.

It is an amenable number.

1007670561 is a deficient number, since it is larger than the sum of its proper divisors (344816223).

1007670561 is a wasteful number, since it uses less digits than its factorization.

1007670561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 1007670561 is about 31743.8271322158. The cubic root of 1007670561 is about 1002.5503438834.

The spelling of 1007670561 in words is "one billion, seven million, six hundred seventy thousand, five hundred sixty-one".