125251263776 has 48 divisors (see below), whose sum is σ = 252320121144. Its totient is φ = 61180114944.

The previous prime is 125251263773. The next prime is 125251263779. The reversal of 125251263776 is 677362152521.

It is an interprime number because it is at equal distance from previous prime (125251263773) and next prime (125251263779).

It can be written as a sum of positive squares in 4 ways, for example, as 77910207376 + 47341056400 = 279124^2 + 217580^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125251263776.

It is not an unprimeable number, because it can be changed into a prime (125251263773) 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 7 ways as a sum of consecutive naturals, for example, 236690 + ... + 553646.

Almost surely, 2^125251263776 is an apocalyptic number.

125251263776 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 125251263776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126160060572).

125251263776 is an abundant number, since it is smaller than the sum of its proper divisors (127068857368).

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

125251263776 is a wasteful number, since it uses less digits than its factorization.

125251263776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317253 (or 317245 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The spelling of 125251263776 in words is "one hundred twenty-five billion, two hundred fifty-one million, two hundred sixty-three thousand, seven hundred seventy-six".