1023085721529 has 27 divisors (see below), whose sum is σ = 1485009319599. Its totient is φ = 678741526080.

The previous prime is 1023085721501. The next prime is 1023085721573. The reversal of 1023085721529 is 9251275803201.

The square root of 1023085721529 is 1011477.

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

1023085721529 is a `hidden beast` number, since 1 + 0 + 23 + 0 + 8 + 572 + 1 + 52 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 769432471929 + 253653249600 = 877173^2 + 503640^2 .

It is not a de Polignac number, because 1023085721529 - 2¹⁹ = 1023085197241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023085721599) 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 26 ways as a sum of consecutive naturals, for example, 731297172 + ... + 731298570.

Almost surely, 2^{1023085721529} is an apocalyptic number.

1023085721529 is the 1011477-th square number.

1023085721529 is the 505739-th centered octagonal number.

It is an amenable number.

1023085721529 is a deficient number, since it is larger than the sum of its proper divisors (461923598070).

1023085721529 is an frugal number, since it uses more digits than its factorization.

1023085721529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1023085721529 in words is "one trillion, twenty-three billion, eighty-five million, seven hundred twenty-one thousand, five hundred twenty-nine".