201251004672 has 72 divisors (see below), whose sum is σ = 536017497120. Its totient is φ = 67034030080.

The previous prime is 201251004653. The next prime is 201251004727. The reversal of 201251004672 is 276400152102.

201251004672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948979 + ... + 1141517.

It is an arithmetic number, because the mean of its divisors is an integer number (7444687460).

Almost surely, 2^201251004672 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 201251004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268008748560).

201251004672 is an abundant number, since it is smaller than the sum of its proper divisors (334766492448).

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

201251004672 is a wasteful number, since it uses less digits than its factorization.

201251004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193919 (or 193905 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 201251004672 its reverse (276400152102), we get a palindrome (477651156774).

The spelling of 201251004672 in words is "two hundred one billion, two hundred fifty-one million, four thousand, six hundred seventy-two".