21307513827582 has 48 divisors (see below), whose sum is σ = 46643563249920. Its totient is φ = 7029080626176.

The previous prime is 21307513827581. The next prime is 21307513827637. The reversal of 21307513827582 is 28572831570312.

21307513827582 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 7 + 5 + 1 + 38 + 27 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21307513827581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68117794 + ... + 68429882.

It is an arithmetic number, because the mean of its divisors is an integer number (971740901040).

Almost surely, 2^{21307513827582} is an apocalyptic number.

21307513827582 is an abundant number, since it is smaller than the sum of its proper divisors (25336049422338).

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

21307513827582 is a wasteful number, since it uses less digits than its factorization.

21307513827582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351297 (or 351294 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 21307513827582 in words is "twenty-one trillion, three hundred seven billion, five hundred thirteen million, eight hundred twenty-seven thousand, five hundred eighty-two".