1005005097 has 16 divisors (see below), whose sum is σ = 1502815680. Its totient is φ = 663739776.

The previous prime is 1005005081. The next prime is 1005005101. The reversal of 1005005097 is 7905005001.

1005005097 is a `hidden beast` number, since 100 + 50 + 0 + 509 + 7 = 666.

It is not a de Polignac number, because 1005005097 - 2⁴ = 1005005081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1005005097.

It is not an unprimeable number, because it can be changed into a prime (1005005077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171048 + ... + 176825.

It is an arithmetic number, because the mean of its divisors is an integer number (93925980).

Almost surely, 2^1005005097 is an apocalyptic number.

It is an amenable number.

1005005097 is a deficient number, since it is larger than the sum of its proper divisors (497810583).

1005005097 is a wasteful number, since it uses less digits than its factorization.

1005005097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347989 (or 347983 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 1005005097 is about 31701.8153581147. The cubic root of 1005005097 is about 1001.6655899366.

The spelling of 1005005097 in words is "one billion, five million, five thousand, ninety-seven".