125021610 has 128 divisors (see below), whose sum is σ = 394329600. Its totient is φ = 27578880.

The previous prime is 125021609. The next prime is 125021681. The reversal of 125021610 is 16120521.

125021610 is a `hidden beast` number, since 1 + 2 + 50 + 2 + 1 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 53670 + ... + 55950.

It is an arithmetic number, because the mean of its divisors is an integer number (3080700).

Almost surely, 2^125021610 is an apocalyptic number.

125021610 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 125021610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197164800).

125021610 is an abundant number, since it is smaller than the sum of its proper divisors (269307990).

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

125021610 is a wasteful number, since it uses less digits than its factorization.

125021610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 125021610 is about 11181.3062743134. The cubic root of 125021610 is about 500.0288116731.

The spelling of 125021610 in words is "one hundred twenty-five million, twenty-one thousand, six hundred ten".