1265563200213 has 64 divisors (see below), whose sum is σ = 2029044245760. Its totient is φ = 774990720000.

The previous prime is 1265563200163. The next prime is 1265563200221. The reversal of 1265563200213 is 3120023655621.

1265563200213 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 5 + 632 + 0 + 0 + 2 + 13 = 666.

It is not a de Polignac number, because 1265563200213 - 2⁹ = 1265563199701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1265563300213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105098473 + ... + 105110513.

It is an arithmetic number, because the mean of its divisors is an integer number (31703816340).

Almost surely, 2^{1265563200213} is an apocalyptic number.

1265563200213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1265563200213 is a deficient number, since it is larger than the sum of its proper divisors (763481045547).

1265563200213 is a wasteful number, since it uses less digits than its factorization.

1265563200213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13507 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1265563200213 its reverse (3120023655621), we get a palindrome (4385586855834).

The spelling of 1265563200213 in words is "one trillion, two hundred sixty-five billion, five hundred sixty-three million, two hundred thousand, two hundred thirteen".