2001042153225 has 72 divisors (see below), whose sum is σ = 3711578651352. Its totient is φ = 1029920486400.

The previous prime is 2001042153221. The next prime is 2001042153239. The reversal of 2001042153225 is 5223512401002.

2001042153225 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 421 + 5 + 3 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1340380431504 + 660661721721 = 1157748^2 + 812811^2 .

It is not a de Polignac number, because 2001042153225 - 2² = 2001042153221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001042153221) 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, 648004 + ... + 2102853.

It is an arithmetic number, because the mean of its divisors is an integer number (51549703491).

Almost surely, 2^{2001042153225} is an apocalyptic number.

2001042153225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2001042153225 is a deficient number, since it is larger than the sum of its proper divisors (1710536498127).

2001042153225 is a wasteful number, since it uses less digits than its factorization.

2001042153225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750987 (or 2750979 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2001042153225 its reverse (5223512401002), we get a palindrome (7224554554227).

The spelling of 2001042153225 in words is "two trillion, one billion, forty-two million, one hundred fifty-three thousand, two hundred twenty-five".