1002605013 has 32 divisors (see below), whose sum is σ = 1500796800. Its totient is φ = 661488768.

The previous prime is 1002605011. The next prime is 1002605017. The reversal of 1002605013 is 3105062001.

1002605013 is a `hidden beast` number, since 100 + 2 + 60 + 501 + 3 = 666.

It is not a de Polignac number, because 1002605013 - 2¹ = 1002605011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002605011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799731 + ... + 1800287.

It is an arithmetic number, because the mean of its divisors is an integer number (46899900).

Almost surely, 2^1002605013 is an apocalyptic number.

It is an amenable number.

1002605013 is a deficient number, since it is larger than the sum of its proper divisors (498191787).

1002605013 is a wasteful number, since it uses less digits than its factorization.

1002605013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1002605013 is about 31663.9386842509. The cubic root of 1002605013 is about 1000.8675847457.

Adding to 1002605013 its reverse (3105062001), we get a palindrome (4107667014).

The spelling of 1002605013 in words is "one billion, two million, six hundred five thousand, thirteen".