125669610 has 256 divisors, whose sum is σ = 410572800. Its totient is φ = 26956800.

The previous prime is 125669597. The next prime is 125669617. The reversal of 125669610 is 16966521.

125669610 is a `hidden beast` number, since 1 + 2 + 566 + 96 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (125669617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 959245 + ... + 959375.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 2^125669610 is an apocalyptic number.

125669610 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 125669610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

125669610 is an abundant number, since it is smaller than the sum of its proper divisors (284903190).

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

125669610 is a wasteful number, since it uses less digits than its factorization.

125669610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 125669610 is about 11210.2457600179. The cubic root of 125669610 is about 500.8912238297.

The spelling of 125669610 in words is "one hundred twenty-five million, six hundred sixty-nine thousand, six hundred ten".