1258285905 has 12 divisors (see below), whose sum is σ = 2181028980. Its totient is φ = 671085792.

The previous prime is 1258285883. The next prime is 1258285921. The reversal of 1258285905 is 5095828521.

It is a happy number.

1258285905 is a `hidden beast` number, since 1 + 2 + 58 + 2 + 8 + 590 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188210961 + 1070074944 = 13719^2 + 32712^2 .

It is not a de Polignac number, because 1258285905 - 2²⁴ = 1241508689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 27961909 = 1258285905 / (1 + 2 + 5 + 8 + 2 + 8 + 5 + 9 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13980910 + ... + 13980999.

It is an arithmetic number, because the mean of its divisors is an integer number (181752415).

Almost surely, 2^1258285905 is an apocalyptic number.

1258285905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1258285905 is a deficient number, since it is larger than the sum of its proper divisors (922743075).

1258285905 is a wasteful number, since it uses less digits than its factorization.

1258285905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27961920 (or 27961917 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 1258285905 is about 35472.3259034420. The cubic root of 1258285905 is about 1079.5922972422.

The spelling of 1258285905 in words is "one billion, two hundred fifty-eight million, two hundred eighty-five thousand, nine hundred five".