3521145130401 has 64 divisors (see below), whose sum is σ = 4837280394240. Its totient is φ = 2277514229760.

The previous prime is 3521145130331. The next prime is 3521145130403. The reversal of 3521145130401 is 1040315411253.

It is not a de Polignac number, because 3521145130401 - 2¹⁵ = 3521145097633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3521145130403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5155409806 + ... + 5155410488.

It is an arithmetic number, because the mean of its divisors is an integer number (75582506160).

Almost surely, 2^{3521145130401} is an apocalyptic number.

It is an amenable number.

3521145130401 is a deficient number, since it is larger than the sum of its proper divisors (1316135263839).

3521145130401 is a wasteful number, since it uses less digits than its factorization.

3521145130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 3521145130401 in words is "three trillion, five hundred twenty-one billion, one hundred forty-five million, one hundred thirty thousand, four hundred one".