1024125784081 has 9 divisors (see below), whose sum is σ = 1026347863419. Its totient is φ = 1021908511800.

The previous prime is 1024125784079. The next prime is 1024125784091. The reversal of 1024125784081 is 1804875214201.

The square root of 1024125784081 is 1011991.

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

It can be written as a sum of positive squares in only one way, i.e., 813169294081 + 210956490000 = 901759^2 + 459300^2 .

It is not a de Polignac number, because 1024125784081 - 2¹ = 1024125784079 is a prime.

It is a super-2 number, since 2×1024125784081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024125784091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 668925286 + ... + 668926816.

It is an arithmetic number, because the mean of its divisors is an integer number (114038651491).

Almost surely, 2^{1024125784081} is an apocalyptic number.

1024125784081 is the 1011991-st square number.

1024125784081 is the 505996-th centered octagonal number.

It is an amenable number.

1024125784081 is a deficient number, since it is larger than the sum of its proper divisors (2222079338).

1024125784081 is an frugal number, since it uses more digits than its factorization.

1024125784081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 43.

The spelling of 1024125784081 in words is "one trillion, twenty-four billion, one hundred twenty-five million, seven hundred eighty-four thousand, eighty-one".