525553605344313 has 144 divisors (see below), whose sum is σ = 960504675975936. Its totient is φ = 274445506540800.

The previous prime is 525553605344227. The next prime is 525553605344333. The reversal of 525553605344313 is 313443506355525.

525553605344313 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 5 + 3 + 60 + 534 + 43 + 1 + 3 = 666.

It is not a de Polignac number, because 525553605344313 - 2²⁸ = 525553336908857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 525553605344313.

It is not an unprimeable number, because it can be changed into a prime (525553605344333) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7600931620 + ... + 7601000762.

It is an arithmetic number, because the mean of its divisors is an integer number (6670171360944).

Almost surely, 2^{525553605344313} is an apocalyptic number.

It is an amenable number.

525553605344313 is a deficient number, since it is larger than the sum of its proper divisors (434951070631623).

525553605344313 is a wasteful number, since it uses less digits than its factorization.

525553605344313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82404 (or 82394 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 54.

The spelling of 525553605344313 in words is "five hundred twenty-five trillion, five hundred fifty-three billion, six hundred five million, three hundred forty-four thousand, three hundred thirteen".