2513524540 has 48 divisors (see below), whose sum is σ = 5508881280. Its totient is φ = 962124800.

The previous prime is 2513524513. The next prime is 2513524543. The reversal of 2513524540 is 454253152.

It is a super-2 number, since 2×2513524540² = 12635611226364423200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513524543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46365 + ... + 84715.

It is an arithmetic number, because the mean of its divisors is an integer number (114768360).

Almost surely, 2^2513524540 is an apocalyptic number.

2513524540 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 2513524540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754440640).

2513524540 is an abundant number, since it is smaller than the sum of its proper divisors (2995356740).

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

2513524540 is a wasteful number, since it uses less digits than its factorization.

2513524540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38502 (or 38500 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2513524540 is about 50135.0629799146. The cubic root of 2513524540 is about 1359.6518247982.

Adding to 2513524540 its reverse (454253152), we get a palindrome (2967777692).

The spelling of 2513524540 in words is "two billion, five hundred thirteen million, five hundred twenty-four thousand, five hundred forty".