201141520 has 20 divisors (see below), whose sum is σ = 467654220. Its totient is φ = 80456576.

The previous prime is 201141517. The next prime is 201141539. The reversal of 201141520 is 25141102.

It can be written as a sum of positive squares in 2 ways, for example, as 65092624 + 136048896 = 8068^2 + 11664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×201141520² = 80915822135820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201141494 and 201141503.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1257055 + ... + 1257214.

It is an arithmetic number, because the mean of its divisors is an integer number (23382711).

Almost surely, 2^201141520 is an apocalyptic number.

201141520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201141520 is an abundant number, since it is smaller than the sum of its proper divisors (266512700).

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

201141520 is a wasteful number, since it uses less digits than its factorization.

201141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514282 (or 2514276 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 201141520 is about 14182.4370261250. The cubic root of 201141520 is about 585.9140457978.

Adding to 201141520 its reverse (25141102), we get a palindrome (226282622).

The spelling of 201141520 in words is "two hundred one million, one hundred forty-one thousand, five hundred twenty".