202540513413 has 64 divisors (see below), whose sum is σ = 319168512000. Its totient is φ = 111856163328.

The previous prime is 202540513403. The next prime is 202540513421. The reversal of 202540513413 is 314315045202.

202540513413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202540513413 - 2⁴ = 202540513397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202540513403) 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 63 ways as a sum of consecutive naturals, for example, 121791420 + ... + 121793082.

It is an arithmetic number, because the mean of its divisors is an integer number (4987008000).

Almost surely, 2^202540513413 is an apocalyptic number.

It is an amenable number.

202540513413 is a deficient number, since it is larger than the sum of its proper divisors (116627998587).

202540513413 is a wasteful number, since it uses less digits than its factorization.

202540513413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 202540513413 its reverse (314315045202), we get a palindrome (516855558615).

The spelling of 202540513413 in words is "two hundred two billion, five hundred forty million, five hundred thirteen thousand, four hundred thirteen".