2513424321 has 12 divisors (see below), whose sum is σ = 3631320420. Its totient is φ = 1675238400.

The previous prime is 2513424307. The next prime is 2513424359. The reversal of 2513424321 is 1234243152.

It can be written as a sum of positive squares in 2 ways, for example, as 1092963600 + 1420460721 = 33060^2 + 37689^2 .

It is not a de Polignac number, because 2513424321 - 2¹⁴ = 2513407937 is a prime.

It is a super-2 number, since 2×2513424321² = 12634603634788622082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2513424301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14125 + ... + 72293.

It is an arithmetic number, because the mean of its divisors is an integer number (302610035).

Almost surely, 2^2513424321 is an apocalyptic number.

It is an amenable number.

2513424321 is a deficient number, since it is larger than the sum of its proper divisors (1117896099).

2513424321 is a wasteful number, since it uses less digits than its factorization.

2513424321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62976 (or 62973 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2513424321 is about 50134.0634798337. The cubic root of 2513424321 is about 1359.6337539240.

Adding to 2513424321 its reverse (1234243152), we get a palindrome (3747667473).

It can be divided in two parts, 25134 and 24321, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 2513424321 in words is "two billion, five hundred thirteen million, four hundred twenty-four thousand, three hundred twenty-one".