260683315353 has 48 divisors (see below), whose sum is σ = 384474090000. Its totient is φ = 170156298240.

The previous prime is 260683315349. The next prime is 260683315429. The reversal of 260683315353 is 353513386062.

260683315353 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 83 + 31 + 535 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43799374089 + 216883941264 = 209283^2 + 465708^2 .

It is not a de Polignac number, because 260683315353 - 2² = 260683315349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 260683315299 and 260683315308.

It is not an unprimeable number, because it can be changed into a prime (260683315303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200988801 + ... + 200990097.

It is an arithmetic number, because the mean of its divisors is an integer number (8009876875).

Almost surely, 2^260683315353 is an apocalyptic number.

It is an amenable number.

260683315353 is a deficient number, since it is larger than the sum of its proper divisors (123790774647).

260683315353 is a wasteful number, since it uses less digits than its factorization.

260683315353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 260683315353 in words is "two hundred sixty billion, six hundred eighty-three million, three hundred fifteen thousand, three hundred fifty-three".