90580125 has 32 divisors (see below), whose sum is σ = 158670720. Its totient is φ = 45763200.

The previous prime is 90580123. The next prime is 90580129. The reversal of 90580125 is 52108509.

It is not a de Polignac number, because 90580125 - 2¹ = 90580123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90580092 and 90580101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90580123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769 + ... + 13481.

It is an arithmetic number, because the mean of its divisors is an integer number (4958460).

Almost surely, 2^90580125 is an apocalyptic number.

90580125 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90580125 is a deficient number, since it is larger than the sum of its proper divisors (68090595).

90580125 is a wasteful number, since it uses less digits than its factorization.

90580125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 90580125 is about 9517.3591400136. The cubic root of 90580125 is about 449.1012927820.

The spelling of 90580125 in words is "ninety million, five hundred eighty thousand, one hundred twenty-five".