125562505104 has 315 divisors, whose sum is σ = 389485118883. Its totient is φ = 39188054016.

The previous prime is 125562505099. The next prime is 125562505139. The reversal of 125562505104 is 401505265521.

The square root of 125562505104 is 354348.

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

125562505104 is a `hidden beast` number, since 1 + 2 + 556 + 2 + 50 + 51 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76527504 + 125485977600 = 8748^2 + 354240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 650582832 + ... + 650583024.

Almost surely, 2^125562505104 is an apocalyptic number.

125562505104 is the 354348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125562505104

125562505104 is an abundant number, since it is smaller than the sum of its proper divisors (263922613779).

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

125562505104 is an frugal number, since it uses more digits than its factorization.

125562505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Multiplying 125562505104 by its sum of digits (36), we get a square (4520250183744 = 2126088²).

125562505104 divided by its sum of digits (36) gives a square (3487847364 = 59058²).

The spelling of 125562505104 in words is "one hundred twenty-five billion, five hundred sixty-two million, five hundred five thousand, one hundred four".