825805777401 has 32 divisors (see below), whose sum is σ = 1336200647040. Its totient is φ = 499901457600.

The previous prime is 825805777397. The next prime is 825805777409. The reversal of 825805777401 is 104777508528.

825805777401 is a `hidden beast` number, since 8 + 2 + 580 + 57 + 7 + 7 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 825805777401 - 2² = 825805777397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825805777409) 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, 1376490 + ... + 1883171.

It is an arithmetic number, because the mean of its divisors is an integer number (41756270220).

Almost surely, 2^825805777401 is an apocalyptic number.

It is an amenable number.

825805777401 is a deficient number, since it is larger than the sum of its proper divisors (510394869639).

825805777401 is a wasteful number, since it uses less digits than its factorization.

825805777401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260534 (or 3260528 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 825805777401 in words is "eight hundred twenty-five billion, eight hundred five million, seven hundred seventy-seven thousand, four hundred one".