2261306136553 has 32 divisors (see below), whose sum is σ = 2460349357056. Its totient is φ = 2072459556288.

The previous prime is 2261306136539. The next prime is 2261306136559. The reversal of 2261306136553 is 3556316031622.

It is a cyclic number.

It is not a de Polignac number, because 2261306136553 - 2⁹ = 2261306136041 is a prime.

It is a super-2 number, since 2×2261306136553² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2261306136559) 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 31 ways as a sum of consecutive naturals, for example, 344550450 + ... + 344557012.

It is an arithmetic number, because the mean of its divisors is an integer number (76885917408).

Almost surely, 2^{2261306136553} is an apocalyptic number.

2261306136553 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2261306136553 is a deficient number, since it is larger than the sum of its proper divisors (199043220503).

2261306136553 is a wasteful number, since it uses less digits than its factorization.

2261306136553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733.

The product of its (nonzero) digits is 583200, while the sum is 43.

The spelling of 2261306136553 in words is "two trillion, two hundred sixty-one billion, three hundred six million, one hundred thirty-six thousand, five hundred fifty-three".