1002107561 has 32 divisors (see below), whose sum is σ = 1280176128. Its totient is φ = 763318080.

The previous prime is 1002107549. The next prime is 1002107567. The reversal of 1002107561 is 1657012001.

It is not a de Polignac number, because 1002107561 - 2¹⁰ = 1002106537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002107567) 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 in 31 ways as a sum of consecutive naturals, for example, 276020 + ... + 279626.

It is an arithmetic number, because the mean of its divisors is an integer number (40005504).

Almost surely, 2^1002107561 is an apocalyptic number.

It is an amenable number.

1002107561 is a deficient number, since it is larger than the sum of its proper divisors (278068567).

1002107561 is a wasteful number, since it uses less digits than its factorization.

1002107561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1002107561 is about 31656.0825276913. The cubic root of 1002107561 is about 1000.7020273756.

Adding to 1002107561 its reverse (1657012001), we get a palindrome (2659119562).

The spelling of 1002107561 in words is "one billion, two million, one hundred seven thousand, five hundred sixty-one".