125584305 has 80 divisors (see below), whose sum is σ = 256526784. Its totient is φ = 52026240.

The previous prime is 125584279. The next prime is 125584313. The reversal of 125584305 is 503485521.

It is not a de Polignac number, because 125584305 - 2¹⁴ = 125567921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 396007 + ... + 396323.

Almost surely, 2^125584305 is an apocalyptic number.

125584305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125584305 is an abundant number, since it is smaller than the sum of its proper divisors (130942479).

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

125584305 is an equidigital number, since it uses as much as digits as its factorization.

125584305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 125584305 is about 11206.4403358069. The cubic root of 125584305 is about 500.7778625654. Note that the first 3 decimals are identical.

The spelling of 125584305 in words is "one hundred twenty-five million, five hundred eighty-four thousand, three hundred five".