4005213504 has 56 divisors (see below), whose sum is σ = 10700064960. Its totient is φ = 1322102784.

The previous prime is 4005213473. The next prime is 4005213529. The reversal of 4005213504 is 4053125004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81489 + ... + 121040.

Almost surely, 2^4005213504 is an apocalyptic number.

It is an amenable number.

4005213504 is an abundant number, since it is smaller than the sum of its proper divisors (6694851456).

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

4005213504 is a wasteful number, since it uses less digits than its factorization.

4005213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202647 (or 202637 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 4005213504 is about 63286.7561500825. The cubic root of 4005213504 is about 1588.0904127006.

Adding to 4005213504 its reverse (4053125004), we get a palindrome (8058338508).

The spelling of 4005213504 in words is "four billion, five million, two hundred thirteen thousand, five hundred four".