2564620105033 has 12 divisors (see below), whose sum is σ = 2994342218112. Its totient is φ = 2190134184840.

The previous prime is 2564620104979. The next prime is 2564620105037. The reversal of 2564620105033 is 3305010264652.

It is a de Polignac number, because none of the positive numbers 2^k-2564620105033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2564620104983 and 2564620105001.

It is not an unprimeable number, because it can be changed into a prime (2564620105037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96553485 + ... + 96580042.

It is an arithmetic number, because the mean of its divisors is an integer number (249528518176).

Almost surely, 2^{2564620105033} is an apocalyptic number.

It is an amenable number.

2564620105033 is a deficient number, since it is larger than the sum of its proper divisors (429722113079).

2564620105033 is a wasteful number, since it uses less digits than its factorization.

2564620105033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193133812 (or 193133805 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 2564620105033 its reverse (3305010264652), we get a palindrome (5869630369685).

The spelling of 2564620105033 in words is "two trillion, five hundred sixty-four billion, six hundred twenty million, one hundred five thousand, thirty-three".