201510540 has 432 divisors, whose sum is σ = 812657664. Its totient is φ = 39916800.

The previous prime is 201510499. The next prime is 201510541. The reversal of 201510540 is 45015102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201510541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3007587 + ... + 3007653.

It is an arithmetic number, because the mean of its divisors is an integer number (1881152).

Almost surely, 2^201510540 is an apocalyptic number.

201510540 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 201510540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406328832).

201510540 is an abundant number, since it is smaller than the sum of its proper divisors (611147124).

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

201510540 is a wasteful number, since it uses less digits than its factorization.

201510540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 201510540 is about 14195.4408173892. The cubic root of 201510540 is about 586.2721384675.

Adding to 201510540 its reverse (45015102), we get a palindrome (246525642).

The spelling of 201510540 in words is "two hundred one million, five hundred ten thousand, five hundred forty".