825414041530 has 32 divisors (see below), whose sum is σ = 1626263443728. Its totient is φ = 299772057600.

The previous prime is 825414041521. The next prime is 825414041549. The reversal of 825414041530 is 35140414528.

825414041530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 908523²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 26841251889 + 798572789641 = 163833^2 + 893629^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 825414041530.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52035831 + ... + 52051690.

Almost surely, 2^825414041530 is an apocalyptic number.

825414041530 is a deficient number, since it is larger than the sum of its proper divisors (800849402198).

825414041530 is a wasteful number, since it uses less digits than its factorization.

825414041530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104087602.

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 825414041530 in words is "eight hundred twenty-five billion, four hundred fourteen million, forty-one thousand, five hundred thirty".