2005501301532 has 216 divisors, whose sum is σ = 5552778879648. Its totient is φ = 608181073920.

The previous prime is 2005501301483. The next prime is 2005501301533. The reversal of 2005501301532 is 2351031055002.

It is a happy number.

2005501301532 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 501 + 3 + 0 + 153 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2005501301496 and 2005501301505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005501301533) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 766334688 + ... + 766337304.

It is an arithmetic number, because the mean of its divisors is an integer number (25707309628).

Almost surely, 2^{2005501301532} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005501301532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776389439824).

2005501301532 is an abundant number, since it is smaller than the sum of its proper divisors (3547277578116).

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

2005501301532 is a wasteful number, since it uses less digits than its factorization.

2005501301532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 2005501301532 its reverse (2351031055002), we get a palindrome (4356532356534).

The spelling of 2005501301532 in words is "two trillion, five billion, five hundred one million, three hundred one thousand, five hundred thirty-two".