35482405937521 has 9 divisors (see below), whose sum is σ = 36073989858699. Its totient is φ = 34900369749000.

The previous prime is 35482405937497. The next prime is 35482405937527. The reversal of 35482405937521 is 12573950428453.

The square root of 35482405937521 is 5956711.

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., 1153821853921 + 34328584083600 = 1074161^2 + 5859060^2 .

It is not a de Polignac number, because 35482405937521 - 2³⁷ = 35344966984049 is a prime.

It is a super-2 number, since 2×35482405937521² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35482405937527) 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, 363310546 + ... + 363408196.

It is an arithmetic number, because the mean of its divisors is an integer number (4008221095411).

Almost surely, 2^{35482405937521} is an apocalyptic number.

35482405937521 is the 5956711-st square number.

35482405937521 is the 2978356-th centered octagonal number.

It is an amenable number.

35482405937521 is a deficient number, since it is larger than the sum of its proper divisors (591583921178).

35482405937521 is an frugal number, since it uses more digits than its factorization.

35482405937521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195424 (or 97712 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 58.

The spelling of 35482405937521 in words is "thirty-five trillion, four hundred eighty-two billion, four hundred five million, nine hundred thirty-seven thousand, five hundred twenty-one".