201520 has 40 divisors (see below), whose sum is σ = 513360. Its totient is φ = 72960.

The previous prime is 201517. The next prime is 201547. The reversal of 201520 is 25102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×201520² = 81220620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 201497 and 201506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (12834).

2²⁰¹⁵²⁰ is an apocalyptic number.

201520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256680).

201520 is an abundant number, since it is smaller than the sum of its proper divisors (311840).

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

201520 is a wasteful number, since it uses less digits than its factorization.

201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 201520 is about 448.9097904925. The cubic root of 201520 is about 58.6281312591.

Adding to 201520 its reverse (25102), we get a palindrome (226622).

It can be divided in two parts, 20 and 1520, that added together give a triangular number (1540 = T₅₅).

The spelling of 201520 in words is "two hundred one thousand, five hundred twenty".