125413995266250 has 320 divisors, whose sum is σ = 321471944048640. Its totient is φ = 32600413440000.

The previous prime is 125413995266177. The next prime is 125413995266257. The reversal of 125413995266250 is 52662599314521.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125413995266257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6421268985 + ... + 6421288515.

It is an arithmetic number, because the mean of its divisors is an integer number (1004599825152).

Almost surely, 2^{125413995266250} is an apocalyptic number.

125413995266250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125413995266250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160735972024320).

125413995266250 is an abundant number, since it is smaller than the sum of its proper divisors (196057948782390).

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

125413995266250 is a wasteful number, since it uses less digits than its factorization.

125413995266250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919 (or 19904 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 60.

The spelling of 125413995266250 in words is "one hundred twenty-five trillion, four hundred thirteen billion, nine hundred ninety-five million, two hundred sixty-six thousand, two hundred fifty".