250125424100 has 72 divisors (see below), whose sum is σ = 559226035368. Its totient is φ = 97045427200.

The previous prime is 250125424099. The next prime is 250125424103. The reversal of 250125424100 is 1424521052.

250125424100 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 12 ways, for example, as 124020891556 + 126104532544 = 352166^2 + 355112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 250125424100.

It is not an unprimeable number, because it can be changed into a prime (250125424103) 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 23 ways as a sum of consecutive naturals, for example, 532982 + ... + 885618.

It is an arithmetic number, because the mean of its divisors is an integer number (7767028269).

Almost surely, 2^250125424100 is an apocalyptic number.

250125424100 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 250125424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279613017684).

250125424100 is an abundant number, since it is smaller than the sum of its proper divisors (309100611268).

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

250125424100 is a wasteful number, since it uses less digits than its factorization.

250125424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352865 (or 352858 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 250125424100 its reverse (1424521052), we get a palindrome (251549945152).

The spelling of 250125424100 in words is "two hundred fifty billion, one hundred twenty-five million, four hundred twenty-four thousand, one hundred".