206125000000 has 280 divisors, whose sum is σ = 546943303368. Its totient is φ = 76800000000.

The previous prime is 206124999989. The next prime is 206125000007. The reversal of 206125000000 is 521602.

It is a happy number.

206125000000 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 20 ways, for example, as 3135104064 + 202989895936 = 55992^2 + 450544^2 .

It is a sliding number, since 206125000000 = 78125000000 + 128000000000 and 1/78125000000 + 1/128000000000 = 0.0000000000206125000000.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206125000007) 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 39 ways as a sum of consecutive naturals, for example, 2124999952 + ... + 2125000048.

Almost surely, 2^206125000000 is an apocalyptic number.

206125000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273471651684).

206125000000 is an abundant number, since it is smaller than the sum of its proper divisors (340818303368).

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

206125000000 is an frugal number, since it uses more digits than its factorization.

206125000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 206125000000 its reverse (521602), we get a palindrome (206125521602).

It can be divided in two parts, 20 and 6125000000, that multiplied together give a square (122500000000 = 350000²).

The spelling of 206125000000 in words is "two hundred six billion, one hundred twenty-five million", and thus it is an aban number.