125313051216 has 160 divisors (see below), whose sum is σ = 331478784000. Its totient is φ = 40783818240.

The previous prime is 125313051211. The next prime is 125313051217. The reversal of 125313051216 is 612150313521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125313051211) 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 31 ways as a sum of consecutive naturals, for example, 349061245 + ... + 349061603.

It is an arithmetic number, because the mean of its divisors is an integer number (2071742400).

Almost surely, 2^125313051216 is an apocalyptic number.

125313051216 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 125313051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392000).

125313051216 is an abundant number, since it is smaller than the sum of its proper divisors (206165732784).

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

125313051216 is a wasteful number, since it uses less digits than its factorization.

125313051216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 125313051216 its reverse (612150313521), we get a palindrome (737463364737).

It can be divided in two parts, 12531305 and 1216, that added together give a triangular number (12532521 = T₅₀₀₆).

The spelling of 125313051216 in words is "one hundred twenty-five billion, three hundred thirteen million, fifty-one thousand, two hundred sixteen".