125981625 has 64 divisors (see below), whose sum is σ = 261421056. Its totient is φ = 52344000.

The previous prime is 125981599. The next prime is 125981651. The reversal of 125981625 is 526189521.

It is an interprime number because it is at equal distance from previous prime (125981599) and next prime (125981651).

It is not a de Polignac number, because 125981625 - 2⁵ = 125981593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26694 + ... + 31056.

It is an arithmetic number, because the mean of its divisors is an integer number (4084704).

Almost surely, 2^125981625 is an apocalyptic number.

125981625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125981625 is an abundant number, since it is smaller than the sum of its proper divisors (135439431).

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

125981625 is a wasteful number, since it uses less digits than its factorization.

125981625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4389 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 125981625 is about 11224.1536429256. The cubic root of 125981625 is about 501.3054221134.

The spelling of 125981625 in words is "one hundred twenty-five million, nine hundred eighty-one thousand, six hundred twenty-five".