3523583248641 has 63 divisors (see below), whose sum is σ = 5432490952371. Its totient is φ = 2284351138224.

The previous prime is 3523583248607. The next prime is 3523583248649. The reversal of 3523583248641 is 1468423853253.

The square root of 3523583248641 is 1877121.

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

3523583248641 is a `hidden beast` number, since 3 + 5 + 2 + 358 + 3 + 248 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3152950679025 + 370632569616 = 1775655^2 + 608796^2 .

It is not a de Polignac number, because 3523583248641 - 2³¹ = 3521435764993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3523583248649) 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 62 ways as a sum of consecutive naturals, for example, 1875242940 + ... + 1875244818.

It is an arithmetic number, because the mean of its divisors is an integer number (86230015117).

Almost surely, 2^{3523583248641} is an apocalyptic number.

3523583248641 is the 1877121-st square number.

3523583248641 is the 938561-st centered octagonal number.

It is an amenable number.

3523583248641 is a deficient number, since it is larger than the sum of its proper divisors (1908907703730).

3523583248641 is an frugal number, since it uses more digits than its factorization.

3523583248641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 1919 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

It can be divided in two parts, 35235 and 83248641, that added together give a square (83283876 = 9126²).

The spelling of 3523583248641 in words is "three trillion, five hundred twenty-three billion, five hundred eighty-three million, two hundred forty-eight thousand, six hundred forty-one".