810302465120661 has 12 divisors (see below), whose sum is σ = 1171190555959788. Its totient is φ = 539853799461504.

The previous prime is 810302465120639. The next prime is 810302465120747. The reversal of 810302465120661 is 166021564203018.

810302465120661 is a `hidden beast` number, since 8 + 1 + 0 + 3 + 0 + 2 + 465 + 120 + 6 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 355209032060100 + 455093433060561 = 18846990^2 + 21332919^2 .

It is not a de Polignac number, because 810302465120661 - 2¹¹ = 810302465118613 is a prime.

It is a super-3 number, since 3×810302465120661³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810302465520661) 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, 28986981270 + ... + 28987009223.

It is an arithmetic number, because the mean of its divisors is an integer number (97599212996649).

Almost surely, 2^{810302465120661} is an apocalyptic number.

It is an amenable number.

810302465120661 is a deficient number, since it is larger than the sum of its proper divisors (360888090839127).

810302465120661 is a wasteful number, since it uses less digits than its factorization.

810302465120661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57973992052 (or 57973992049 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 810302465120661 in words is "eight hundred ten trillion, three hundred two billion, four hundred sixty-five million, one hundred twenty thousand, six hundred sixty-one".