5258958870564 has 81 divisors (see below), whose sum is σ = 15464126566161. Its totient is φ = 1502532158400.

The previous prime is 5258958870559. The next prime is 5258958870643. The reversal of 5258958870564 is 4650788598525.

It is a happy number.

The square root of 5258958870564 is 2293242.

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

5258958870564 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 9 + 58 + 8 + 7 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183490576164 + 5075468294400 = 428358^2 + 2252880^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5258958870492 and 5258958870501.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96288864 + ... + 96343464.

Almost surely, 2^{5258958870564} is an apocalyptic number.

5258958870564 is the 2293242-nd square number.

It is an amenable number.

5258958870564 is an abundant number, since it is smaller than the sum of its proper divisors (10205167695597).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5258958870564 is an frugal number, since it uses more digits than its factorization.

5258958870564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109226 (or 54613 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 72.

The spelling of 5258958870564 in words is "five trillion, two hundred fifty-eight billion, nine hundred fifty-eight million, eight hundred seventy thousand, five hundred sixty-four".