125305277792256 has 945 divisors, whose sum is σ = 390056851510473. Its totient is φ = 40233865052160.

The previous prime is 125305277792251. The next prime is 125305277792281. The reversal of 125305277792256 is 652297772503521.

It is a happy number.

The square root of 125305277792256 is 11193984.

It is a perfect power (a square), and thus also a powerful number.

125305277792256 is a `hidden beast` number, since 1 + 2 + 5 + 30 + 527 + 7 + 7 + 9 + 22 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6037910470656 + 119267367321600 = 2457216^2 + 10920960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125305277792193 and 125305277792202.

It is not an unprimeable number, because it can be changed into a prime (125305277792251) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1586142756825 + ... + 1586142756903.

Almost surely, 2^{125305277792256} is an apocalyptic number.

125305277792256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125305277792256 is the 11193984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125305277792256

125305277792256 is an abundant number, since it is smaller than the sum of its proper divisors (264751573718217).

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

125305277792256 is an frugal number, since it uses more digits than its factorization.

125305277792256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 125305277792256 in words is "one hundred twenty-five trillion, three hundred five billion, two hundred seventy-seven million, seven hundred ninety-two thousand, two hundred fifty-six".