1002136305 has 16 divisors (see below), whose sum is σ = 1646754624. Its totient is φ = 520027200.

The previous prime is 1002136301. The next prime is 1002136313. The reversal of 1002136305 is 5036312001.

It is not a de Polignac number, because 1002136305 - 2² = 1002136301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002136301) 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 15 ways as a sum of consecutive naturals, for example, 902271 + ... + 903380.

It is an arithmetic number, because the mean of its divisors is an integer number (102922164).

Almost surely, 2^1002136305 is an apocalyptic number.

1002136305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002136305 is a deficient number, since it is larger than the sum of its proper divisors (644618319).

1002136305 is a wasteful number, since it uses less digits than its factorization.

1002136305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805696.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1002136305 is about 31656.5365288119. The cubic root of 1002136305 is about 1000.7115951789.

Adding to 1002136305 its reverse (5036312001), we get a palindrome (6038448306).

The spelling of 1002136305 in words is "one billion, two million, one hundred thirty-six thousand, three hundred five".