4631521497409 has 9 divisors (see below), whose sum is σ = 4637894000961. Its totient is φ = 4625157746580.

The previous prime is 4631521497377. The next prime is 4631521497433. The reversal of 4631521497409 is 9047941251364.

The square root of 4631521497409 is 2152097.

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

It is not a de Polignac number, because 4631521497409 - 2⁵ = 4631521497377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4631521497409.

It is not an unprimeable number, because it can be changed into a prime (4631521497439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2778356394 + ... + 2778358060.

Almost surely, 2^{4631521497409} is an apocalyptic number.

4631521497409 is the 2152097-th square number.

4631521497409 is the 1076049-th centered octagonal number.

It is an amenable number.

4631521497409 is a deficient number, since it is larger than the sum of its proper divisors (6372503552).

4631521497409 is an frugal number, since it uses more digits than its factorization.

4631521497409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 4631521497409 in words is "four trillion, six hundred thirty-one billion, five hundred twenty-one million, four hundred ninety-seven thousand, four hundred nine".