2513520 has 60 divisors (see below), whose sum is σ = 8443656. Its totient is φ = 670080.

The previous prime is 2513519. The next prime is 2513527. The reversal of 2513520 is 253152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 2513493 and 2513502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026 + ... + 2465.

2^2513520 is an apocalyptic number.

2513520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513520 is an abundant number, since it is smaller than the sum of its proper divisors (5930136).

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

2513520 is a wasteful number, since it uses less digits than its factorization.

2513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2513520 is about 1585.4084647182. The cubic root of 2513520 is about 135.9651006184.

Adding to 2513520 its reverse (253152), we get a palindrome (2766672).

The spelling of 2513520 in words is "two million, five hundred thirteen thousand, five hundred twenty".