1043525583961 has 9 divisors (see below), whose sum is σ = 1213905426111. Its totient is φ = 894444371352.

The previous prime is 1043525583937. The next prime is 1043525583973. The reversal of 1043525583961 is 1693855253401.

The square root of 1043525583961 is 1021531.

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., 1043268174025 + 257409936 = 1021405^2 + 16044^2 .

It is not a de Polignac number, because 1043525583961 - 2¹⁹ = 1043525059673 is a prime.

It is a super-2 number, since 2×1043525583961² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1043525583899 and 1043525583908.

It is not an unprimeable number, because it can be changed into a prime (1043525583911) 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 8 ways as a sum of consecutive naturals, for example, 7077751 + ... + 7223683.

It is an arithmetic number, because the mean of its divisors is an integer number (134878380679).

Almost surely, 2^{1043525583961} is an apocalyptic number.

1043525583961 is the 1021531-st square number.

1043525583961 is the 510766-th centered octagonal number.

It is an amenable number.

1043525583961 is a deficient number, since it is larger than the sum of its proper divisors (170379842150).

1043525583961 is an frugal number, since it uses more digits than its factorization.

1043525583961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291880 (or 145940 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 1043525583961 in words is "one trillion, forty-three billion, five hundred twenty-five million, five hundred eighty-three thousand, nine hundred sixty-one".