220524032001 has 96 divisors (see below), whose sum is σ = 381346233600. Its totient is φ = 113173272576.

The previous prime is 220524031991. The next prime is 220524032017. The reversal of 220524032001 is 100230425022.

It is not a de Polignac number, because 220524032001 - 2⁹ = 220524031489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220524037001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6417201 + ... + 6451473.

It is an arithmetic number, because the mean of its divisors is an integer number (3972356600).

Almost surely, 2^220524032001 is an apocalyptic number.

220524032001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220524032001 is a deficient number, since it is larger than the sum of its proper divisors (160822201599).

220524032001 is a wasteful number, since it uses less digits than its factorization.

220524032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34360 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 220524032001 its reverse (100230425022), we get a palindrome (320754457023).

The spelling of 220524032001 in words is "two hundred twenty billion, five hundred twenty-four million, thirty-two thousand, one".