125230289321956 has 81 divisors (see below), whose sum is σ = 276056296076169. Its totient is φ = 49540847192928.

The previous prime is 125230289321939. The next prime is 125230289321957. The reversal of 125230289321956 is 659123982032521.

The square root of 125230289321956 is 11190634.

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

It can be written as a sum of positive squares in only one way, i.e., 18525190728100 + 106705098593856 = 4304090^2 + 10329816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125230289321956.

It is not an unprimeable number, because it can be changed into a prime (125230289321957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2036664645 + ... + 2036726131.

Almost surely, 2^{125230289321956} is an apocalyptic number.

125230289321956 is the 11190634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125230289321956

125230289321956 is an abundant number, since it is smaller than the sum of its proper divisors (150826006754213).

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

125230289321956 is an frugal number, since it uses more digits than its factorization.

125230289321956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123018 (or 61509 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 125230289321956 in words is "one hundred twenty-five trillion, two hundred thirty billion, two hundred eighty-nine million, three hundred twenty-one thousand, nine hundred fifty-six".