90082824325 has 24 divisors (see below), whose sum is σ = 120309940296. Its totient is φ = 66514560000.

The previous prime is 90082824317. The next prime is 90082824401. The reversal of 90082824325 is 52342828009.

It can be written as a sum of positive squares in 12 ways, for example, as 82310462404 + 7772361921 = 286898^2 + 88161^2 .

It is not a de Polignac number, because 90082824325 - 2³ = 90082824317 is a prime.

It is a super-2 number, since 2×90082824325² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4449225 + ... + 4469425.

It is an arithmetic number, because the mean of its divisors is an integer number (5012914179).

Almost surely, 2^90082824325 is an apocalyptic number.

It is an amenable number.

90082824325 is a deficient number, since it is larger than the sum of its proper divisors (30227115971).

90082824325 is a wasteful number, since it uses less digits than its factorization.

90082824325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33945 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 90082824325 in words is "ninety billion, eighty-two million, eight hundred twenty-four thousand, three hundred twenty-five".