129582000625 has 225 divisors, whose sum is σ = 220102509495. Its totient is φ = 76026720000.

The previous prime is 129582000623. The next prime is 129582000629. The reversal of 129582000625 is 526000285921.

The square root of 129582000625 is 359975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 63281930481 + 66300070144 = 251559^2 + 257488^2 .

It is not a de Polignac number, because 129582000625 - 2¹ = 129582000623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129582000623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 7622470617 + ... + 7622470633.

Almost surely, 2^129582000625 is an apocalyptic number.

129582000625 is the 359975-th square number.

129582000625 is the 179988-th centered octagonal number.

It is an amenable number.

129582000625 is a deficient number, since it is larger than the sum of its proper divisors (90520508870).

129582000625 is an frugal number, since it uses more digits than its factorization.

129582000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 129582000625 in words is "one hundred twenty-nine billion, five hundred eighty-two million, six hundred twenty-five", and thus it is an aban number.