82905120001 has 6 divisors (see below), whose sum is σ = 91127115506. Its totient is φ = 75368290800.

The previous prime is 82905119953. The next prime is 82905120007. The reversal of 82905120001 is 10002150928.

It can be written as a sum of positive squares in only one way, i.e., 78680250000 + 4224870001 = 280500^2 + 64999^2 .

It is not a de Polignac number, because 82905120001 - 2⁹ = 82905119489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82905120007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342583020 + ... + 342583261.

Almost surely, 2^82905120001 is an apocalyptic number.

It is an amenable number.

82905120001 is a deficient number, since it is larger than the sum of its proper divisors (8221995505).

82905120001 is a wasteful number, since it uses less digits than its factorization.

82905120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685166303 (or 685166292 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 82905120001 its reverse (10002150928), we get a palindrome (92907270929).

The spelling of 82905120001 in words is "eighty-two billion, nine hundred five million, one hundred twenty thousand, one".