2531624667664 has 45 divisors (see below), whose sum is σ = 4974048163143. Its totient is φ = 1248243319296.

The previous prime is 2531624667643. The next prime is 2531624667727. The reversal of 2531624667664 is 4667664261352.

The square root of 2531624667664 is 1591108.

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

It can be written as a sum of positive squares in 4 ways, for example, as 366630250000 + 2164994417664 = 605500^2 + 1471392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2531624667599 and 2531624667608.

It is an unprimeable number.

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, 464600812 + ... + 464606260.

Almost surely, 2^{2531624667664} is an apocalyptic number.

2531624667664 is the 1591108-th square number.

It is an amenable number.

2531624667664 is a deficient number, since it is larger than the sum of its proper divisors (2442423495479).

2531624667664 is an frugal number, since it uses more digits than its factorization.

2531624667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 5524 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 58.

The spelling of 2531624667664 in words is "two trillion, five hundred thirty-one billion, six hundred twenty-four million, six hundred sixty-seven thousand, six hundred sixty-four".