2513055540 has 96 divisors (see below), whose sum is σ = 7251560064. Its totient is φ = 649797120.

The previous prime is 2513055521. The next prime is 2513055541. The reversal of 2513055540 is 455503152.

It is a happy number.

2513055540 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2513055498 and 2513055507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513055541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701955 + ... + 705525.

It is an arithmetic number, because the mean of its divisors is an integer number (75537084).

Almost surely, 2^2513055540 is an apocalyptic number.

2513055540 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 2513055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625780032).

2513055540 is an abundant number, since it is smaller than the sum of its proper divisors (4738504524).

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

2513055540 is a wasteful number, since it uses less digits than its factorization.

2513055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 2513055540 is about 50130.3853964838. The cubic root of 2513055540 is about 1359.5672534640.

Adding to 2513055540 its reverse (455503152), we get a palindrome (2968558692).

The spelling of 2513055540 in words is "two billion, five hundred thirteen million, fifty-five thousand, five hundred forty".