2521513241 has 24 divisors (see below), whose sum is σ = 2787403080. Its totient is φ = 2267274240.

The previous prime is 2521513217. The next prime is 2521513261. The reversal of 2521513241 is 1423151252.

2521513241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 156150016 + 2365363225 = 12496^2 + 48635^2 .

It is not a de Polignac number, because 2521513241 - 2²⁶ = 2454404377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2521513241.

It is not an unprimeable number, because it can be changed into a prime (2521513261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7142921 + ... + 7143273.

It is an arithmetic number, because the mean of its divisors is an integer number (116141795).

Almost surely, 2^2521513241 is an apocalyptic number.

It is an amenable number.

2521513241 is a deficient number, since it is larger than the sum of its proper divisors (265889839).

2521513241 is a wasteful number, since it uses less digits than its factorization.

2521513241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 546 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 2521513241 is about 50214.6715711653. The cubic root of 2521513241 is about 1361.0907557544.

Adding to 2521513241 its reverse (1423151252), we get a palindrome (3944664493).

The spelling of 2521513241 in words is "two billion, five hundred twenty-one million, five hundred thirteen thousand, two hundred forty-one".