2513532120 has 64 divisors (see below), whose sum is σ = 8226109440. Its totient is φ = 609340800.

The previous prime is 2513532103. The next prime is 2513532121. The reversal of 2513532120 is 212353152.

It is a happy number.

2513532120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513532121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950776 + ... + 953415.

It is an arithmetic number, because the mean of its divisors is an integer number (128532960).

Almost surely, 2^2513532120 is an apocalyptic number.

2513532120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513532120 is an abundant number, since it is smaller than the sum of its proper divisors (5712577320).

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

2513532120 is a wasteful number, since it uses less digits than its factorization.

2513532120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904216 (or 1904212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2513532120 is about 50135.1385756537. The cubic root of 2513532120 is about 1359.6531915577.

Adding to 2513532120 its reverse (212353152), we get a palindrome (2725885272).

The spelling of 2513532120 in words is "two billion, five hundred thirteen million, five hundred thirty-two thousand, one hundred twenty".