1585672785225 has 45 divisors (see below), whose sum is σ = 2937319100023. Its totient is φ = 845661930480.

The previous prime is 1585672785199. The next prime is 1585672785371. The reversal of 1585672785225 is 5225872765851.

The square root of 1585672785225 is 1259235.

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

1585672785225 is a `hidden beast` number, since 1 + 5 + 85 + 6 + 7 + 27 + 8 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 570842202681 + 1014830582544 = 755541^2 + 1007388^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1585672785225 - 2³⁷ = 1448233831753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56651584 + ... + 56679566.

Almost surely, 2^{1585672785225} is an apocalyptic number.

1585672785225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1585672785225 is the 1259235-th square number.

1585672785225 is the 629618-th centered octagonal number.

It is an amenable number.

1585672785225 is a deficient number, since it is larger than the sum of its proper divisors (1351646314798).

1585672785225 is an frugal number, since it uses more digits than its factorization.

1585672785225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55988 (or 27991 counting only the distinct ones).

The product of its digits is 94080000, while the sum is 63.

The spelling of 1585672785225 in words is "one trillion, five hundred eighty-five billion, six hundred seventy-two million, seven hundred eighty-five thousand, two hundred twenty-five".