125005335 has 64 divisors (see below), whose sum is σ = 260692992. Its totient is φ = 49637376.

The previous prime is 125005303. The next prime is 125005337. The reversal of 125005335 is 533500521.

It is not a de Polignac number, because 125005335 - 2⁵ = 125005303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125005337) by changing a digit.

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, 20512 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (4073328).

Almost surely, 2^125005335 is an apocalyptic number.

125005335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

125005335 is an abundant number, since it is smaller than the sum of its proper divisors (135687657).

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

125005335 is a wasteful number, since it uses less digits than its factorization.

125005335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 125005335 is about 11180.5784734065. The cubic root of 125005335 is about 500.0071132321.

Adding to 125005335 its reverse (533500521), we get a palindrome (658505856).

The spelling of 125005335 in words is "one hundred twenty-five million, five thousand, three hundred thirty-five".