2661506314303 has 16 divisors (see below), whose sum is σ = 2833206806016. Its totient is φ = 2491491778560.

The previous prime is 2661506314289. The next prime is 2661506314361. The reversal of 2661506314303 is 3034136051662.

2661506314303 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2661506314303 - 2²⁵ = 2661472759871 is a prime.

It is a super-2 number, since 2×2661506314303² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661506314903) 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 15 ways as a sum of consecutive naturals, for example, 25511575 + ... + 25615687.

It is an arithmetic number, because the mean of its divisors is an integer number (177075425376).

Almost surely, 2^{2661506314303} is an apocalyptic number.

2661506314303 is a deficient number, since it is larger than the sum of its proper divisors (171700491713).

2661506314303 is a wasteful number, since it uses less digits than its factorization.

2661506314303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112194.

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 2661506314303 in words is "two trillion, six hundred sixty-one billion, five hundred six million, three hundred fourteen thousand, three hundred three".