2005153002 has 32 divisors (see below), whose sum is σ = 4458216960. Its totient is φ = 668036160.

The previous prime is 2005152983. The next prime is 2005153027. The reversal of 2005153002 is 2003515002.

It is a happy number.

2005153002 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2005153002² = 8041277122859224008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108103 + ... + 125285.

It is an arithmetic number, because the mean of its divisors is an integer number (139319280).

Almost surely, 2^2005153002 is an apocalyptic number.

2005153002 is an abundant number, since it is smaller than the sum of its proper divisors (2453063958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005153002 is a wasteful number, since it uses less digits than its factorization.

2005153002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19355 (or 19349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2005153002 is about 44778.9348019803. The cubic root of 2005153002 is about 1261.0021845260.

Adding to 2005153002 its reverse (2003515002), we get a palindrome (4008668004).

The spelling of 2005153002 in words is "two billion, five million, one hundred fifty-three thousand, two".