771825411953 has 12 divisors (see below), whose sum is σ = 793435940892. Its totient is φ = 750788619840.

The previous prime is 771825411901. The next prime is 771825411971. The reversal of 771825411953 is 359114528177.

771825411953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 139391715904 + 632433696049 = 373352^2 + 795257^2 .

It is not a de Polignac number, because 771825411953 - 2²⁰ = 771824363377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 771825411895 and 771825411904.

It is not an unprimeable number, because it can be changed into a prime (771825411983) 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, 5955383 + ... + 6083603.

It is an arithmetic number, because the mean of its divisors is an integer number (66119661741).

Almost surely, 2^771825411953 is an apocalyptic number.

It is an amenable number.

771825411953 is a deficient number, since it is larger than the sum of its proper divisors (21610528939).

771825411953 is a wasteful number, since it uses less digits than its factorization.

771825411953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132692 (or 132655 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 53.

The spelling of 771825411953 in words is "seven hundred seventy-one billion, eight hundred twenty-five million, four hundred eleven thousand, nine hundred fifty-three".