125651533824 has 300 divisors, whose sum is σ = 380827641964. Its totient is φ = 41278242816.

The previous prime is 125651533817. The next prime is 125651533829. The reversal of 125651533824 is 428335156521.

It is a happy number.

125651533824 is a `hidden beast` number, since 1 + 2 + 56 + 515 + 3 + 3 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107794022400 + 17857511424 = 328320^2 + 133632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125651533824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125651533829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96877944 + ... + 96879240.

Almost surely, 2^125651533824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125651533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190413820982).

125651533824 is an abundant number, since it is smaller than the sum of its proper divisors (255176108140).

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

125651533824 is an frugal number, since it uses more digits than its factorization.

125651533824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1375 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 125651533824 in words is "one hundred twenty-five billion, six hundred fifty-one million, five hundred thirty-three thousand, eight hundred twenty-four".