3505431504001 has 6 divisors (see below), whose sum is σ = 4077746851650. Its totient is φ = 3004655574816.

The previous prime is 3505431503971. The next prime is 3505431504007. The reversal of 3505431504001 is 1004051345053.

It can be written as a sum of positive squares in only one way, i.e., 3305854876401 + 199576627600 = 1818201^2 + 446740^2 .

It is not a de Polignac number, because 3505431504001 - 2²⁹ = 3504894633089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3505431504007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35769709176 + ... + 35769709273.

It is an arithmetic number, because the mean of its divisors is an integer number (679624475275).

Almost surely, 2^{3505431504001} is an apocalyptic number.

It is an amenable number.

3505431504001 is a deficient number, since it is larger than the sum of its proper divisors (572315347649).

3505431504001 is an equidigital number, since it uses as much as digits as its factorization.

3505431504001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71539418463 (or 71539418456 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 3505431504001 its reverse (1004051345053), we get a palindrome (4509482849054).

The spelling of 3505431504001 in words is "three trillion, five hundred five billion, four hundred thirty-one million, five hundred four thousand, one".