1258128125 has 12 divisors (see below), whose sum is σ = 1572563412. Its totient is φ = 1006500000.

The previous prime is 1258128103. The next prime is 1258128133. The reversal of 1258128125 is 5218218521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 808094329 + 450033796 = 28427^2 + 21214^2 .

It is not a de Polignac number, because 1258128125 - 2²⁶ = 1191019261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198176 + ... + 204425.

It is an arithmetic number, because the mean of its divisors is an integer number (131046951).

Almost surely, 2^1258128125 is an apocalyptic number.

It is an amenable number.

1258128125 is a deficient number, since it is larger than the sum of its proper divisors (314435287).

1258128125 is an frugal number, since it uses more digits than its factorization.

1258128125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402626 (or 402606 counting only the distinct ones).

The product of its digits is 12800, while the sum is 35.

The square root of 1258128125 is about 35470.1018464847. The cubic root of 1258128125 is about 1079.5471709869.

It can be divided in two parts, 125 and 8128125, that multiplied together give a square (1016015625 = 31875²).

The spelling of 1258128125 in words is "one billion, two hundred fifty-eight million, one hundred twenty-eight thousand, one hundred twenty-five".