201525205504 has 120 divisors (see below), whose sum is σ = 477237516228. Its totient is φ = 84737802240.

The previous prime is 201525205499. The next prime is 201525205543. The reversal of 201525205504 is 405502525102.

It is a happy number.

201525205504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 183910607104 + 17614598400 = 428848^2 + 132720^2 .

It is a super-2 number, since 2×201525205504² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 1253884 + ... + 1405444.

Almost surely, 2^201525205504 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 201525205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238618758114).

201525205504 is an abundant number, since it is smaller than the sum of its proper divisors (275712310724).

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

201525205504 is an equidigital number, since it uses as much as digits as its factorization.

201525205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151646 (or 151623 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 201525205504 in words is "two hundred one billion, five hundred twenty-five million, two hundred five thousand, five hundred four".