1006552105 has 48 divisors (see below), whose sum is σ = 1381854096. Its totient is φ = 699494400.

The previous prime is 1006552087. The next prime is 1006552109. The reversal of 1006552105 is 5012556001.

It can be written as a sum of positive squares in 8 ways, for example, as 12222016 + 994330089 = 3496^2 + 31533^2 .

It is not a de Polignac number, because 1006552105 - 2¹⁷ = 1006421033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006552105.

It is not an unprimeable number, because it can be changed into a prime (1006552109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2509905 + ... + 2510305.

It is an arithmetic number, because the mean of its divisors is an integer number (28788627).

Almost surely, 2^1006552105 is an apocalyptic number.

It is an amenable number.

1006552105 is a deficient number, since it is larger than the sum of its proper divisors (375301991).

1006552105 is a wasteful number, since it uses less digits than its factorization.

1006552105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1006552105 is about 31726.2053356527. The cubic root of 1006552105 is about 1002.1792822787.

The spelling of 1006552105 in words is "one billion, six million, five hundred fifty-two thousand, one hundred five".