205102251032 has 64 divisors (see below), whose sum is σ = 465487326720. Its totient is φ = 82707337728.

The previous prime is 205102251019. The next prime is 205102251041. The reversal of 205102251032 is 230152201502.

205102251032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×205102251032³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205102250989 and 205102251007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3634343 + ... + 3690345.

It is an arithmetic number, because the mean of its divisors is an integer number (7273239480).

Almost surely, 2^205102251032 is an apocalyptic number.

It is an amenable number.

205102251032 is an abundant number, since it is smaller than the sum of its proper divisors (260385075688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205102251032 is a wasteful number, since it uses less digits than its factorization.

205102251032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59880 (or 59876 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 205102251032 its reverse (230152201502), we get a palindrome (435254452534).

The spelling of 205102251032 in words is "two hundred five billion, one hundred two million, two hundred fifty-one thousand, thirty-two".