1005731258425 has 24 divisors (see below), whose sum is σ = 1248658991424. Its totient is φ = 803584119360.

The previous prime is 1005731258227. The next prime is 1005731258473. The reversal of 1005731258425 is 5248521375001.

It is a de Polignac number, because none of the positive numbers 2^k-1005731258425 is a prime.

It is a super-2 number, since 2×1005731258425² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119398764 + ... + 119407186.

It is an arithmetic number, because the mean of its divisors is an integer number (52027457976).

Almost surely, 2^{1005731258425} is an apocalyptic number.

It is an amenable number.

1005731258425 is a deficient number, since it is larger than the sum of its proper divisors (242927732999).

1005731258425 is a wasteful number, since it uses less digits than its factorization.

1005731258425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13809 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 1005731258425 in words is "one trillion, five billion, seven hundred thirty-one million, two hundred fifty-eight thousand, four hundred twenty-five".