771661210401 has 12 divisors (see below), whose sum is σ = 1115637826212. Its totient is φ = 513971847936.

The previous prime is 771661210399. The next prime is 771661210403. The reversal of 771661210401 is 104012166177.

771661210401 is a `hidden beast` number, since 7 + 71 + 66 + 121 + 0 + 401 = 666.

771661210401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (771661210399) and next prime (771661210403).

It can be written as a sum of positive squares in 2 ways, for example, as 502611520401 + 269049690000 = 708951^2 + 518700^2 .

It is not a de Polignac number, because 771661210401 - 2¹ = 771661210399 is a prime.

It is a super-3 number, since 3×771661210401³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (771661210403) 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, 39069496 + ... + 39089241.

It is an arithmetic number, because the mean of its divisors is an integer number (92969818851).

Almost surely, 2^771661210401 is an apocalyptic number.

It is an amenable number.

771661210401 is a deficient number, since it is larger than the sum of its proper divisors (343976615811).

771661210401 is a wasteful number, since it uses less digits than its factorization.

771661210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78159840 (or 78159837 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 771661210401 its reverse (104012166177), we get a palindrome (875673376578).

The spelling of 771661210401 in words is "seven hundred seventy-one billion, six hundred sixty-one million, two hundred ten thousand, four hundred one".