125261056 has 54 divisors (see below), whose sum is σ = 256148970. Its totient is φ = 61129728.

The previous prime is 125261051. The next prime is 125261077. The reversal of 125261056 is 650162521.

It can be written as a sum of positive squares in only one way, i.e., 114918400 + 10342656 = 10720^2 + 3216^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125261051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1149130 + ... + 1149238.

Almost surely, 2^125261056 is an apocalyptic number.

125261056 is a gapful number since it is divisible by the number (16) 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 125261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128074485).

125261056 is an abundant number, since it is smaller than the sum of its proper divisors (130887914).

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

125261056 is an frugal number, since it uses more digits than its factorization.

125261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 125261056 is about 11192.0085775521. The cubic root of 125261056 is about 500.3478326355.

The spelling of 125261056 in words is "one hundred twenty-five million, two hundred sixty-one thousand, fifty-six".