258320095504 has 45 divisors (see below), whose sum is σ = 509078926629. Its totient is φ = 126981679680.

The previous prime is 258320095499. The next prime is 258320095507. The reversal of 258320095504 is 405590023852.

The square root of 258320095504 is 508252.

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

It can be written as a sum of positive squares in only one way, i.e., 8400089104 + 249920006400 = 91652^2 + 499920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258320095507) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124012447 + ... + 124014529.

Almost surely, 2^258320095504 is an apocalyptic number.

258320095504 is the 508252-nd square number.

It is an amenable number.

258320095504 is a deficient number, since it is larger than the sum of its proper divisors (250758831125).

258320095504 is an frugal number, since it uses more digits than its factorization.

258320095504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 258320095504 in words is "two hundred fifty-eight billion, three hundred twenty million, ninety-five thousand, five hundred four".