125636610 has 64 divisors (see below), whose sum is σ = 330251904. Its totient is φ = 30336000.

The previous prime is 125636597. The next prime is 125636611. The reversal of 125636610 is 16636521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125636611) 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 31 ways as a sum of consecutive naturals, for example, 104010 + ... + 105210.

It is an arithmetic number, because the mean of its divisors is an integer number (5160186).

Almost surely, 2^125636610 is an apocalyptic number.

125636610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125636610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165125952).

125636610 is an abundant number, since it is smaller than the sum of its proper divisors (204615294).

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

125636610 is a wasteful number, since it uses less digits than its factorization.

125636610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 125636610 is about 11208.7737955585. The cubic root of 125636610 is about 500.8473764284.

The spelling of 125636610 in words is "one hundred twenty-five million, six hundred thirty-six thousand, six hundred ten".