1258080776164 has 81 divisors (see below), whose sum is σ = 2314220000841. Its totient is φ = 598418439840.

The previous prime is 1258080776153. The next prime is 1258080776191. The reversal of 1258080776164 is 4616770808521.

The square root of 1258080776164 is 1121642.

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., 1171715321764 + 86365454400 = 1082458^2 + 293880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5493802402 + ... + 5493802630.

Almost surely, 2^{1258080776164} is an apocalyptic number.

1258080776164 is the 1121642-nd square number.

It is an amenable number.

1258080776164 is a deficient number, since it is larger than the sum of its proper divisors (1056139224677).

1258080776164 is an frugal number, since it uses more digits than its factorization.

1258080776164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 1258080776164 in words is "one trillion, two hundred fifty-eight billion, eighty million, seven hundred seventy-six thousand, one hundred sixty-four".