4005213525 has 36 divisors (see below), whose sum is σ = 7295396160. Its totient is φ = 2099901600.

The previous prime is 4005213473. The next prime is 4005213529. The reversal of 4005213525 is 5253125004.

It is a happy number.

It is not a de Polignac number, because 4005213525 - 2⁷ = 4005213397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005213529) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137581 + ... + 164130.

Almost surely, 2^4005213525 is an apocalyptic number.

4005213525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4005213525 is a deficient number, since it is larger than the sum of its proper divisors (3290182635).

4005213525 is a wasteful number, since it uses less digits than its factorization.

4005213525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301786 (or 301778 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4005213525 is about 63286.7563159939. The cubic root of 4005213525 is about 1588.0904154762.

Adding to 4005213525 its reverse (5253125004), we get a palindrome (9258338529).

The spelling of 4005213525 in words is "four billion, five million, two hundred thirteen thousand, five hundred twenty-five".