1021983508624 has 45 divisors (see below), whose sum is σ = 2144234719179. Its totient is φ = 471660433920.

The previous prime is 1021983508621. The next prime is 1021983508687. The reversal of 1021983508624 is 4268053891201.

The square root of 1021983508624 is 1010932.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 397832947600 + 624150561024 = 630740^2 + 790032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021983508621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52558744 + ... + 52578184.

Almost surely, 2^{1021983508624} is an apocalyptic number.

1021983508624 is the 1010932-nd square number.

It is an amenable number.

1021983508624 is an abundant number, since it is smaller than the sum of its proper divisors (1122251210555).

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

1021983508624 is an frugal number, since it uses more digits than its factorization.

1021983508624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38916 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 1021983508624 by its sum of digits (49), we get a square (50077191922576 = 7076524²).

The spelling of 1021983508624 in words is "one trillion, twenty-one billion, nine hundred eighty-three million, five hundred eight thousand, six hundred twenty-four".