1585289225 has 48 divisors (see below), whose sum is σ = 2244648000. Its totient is φ = 1100977920.

The previous prime is 1585289221. The next prime is 1585289227. The reversal of 1585289225 is 5229825851.

It is not a de Polignac number, because 1585289225 - 2² = 1585289221 is a prime.

It is a super-2 number, since 2×1585289225² = 5026283853802201250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1585289225.

It is not an unprimeable number, because it can be changed into a prime (1585289221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919214 + ... + 920936.

It is an arithmetic number, because the mean of its divisors is an integer number (46763500).

Almost surely, 2^1585289225 is an apocalyptic number.

It is an amenable number.

1585289225 is a deficient number, since it is larger than the sum of its proper divisors (659358775).

1585289225 is a wasteful number, since it uses less digits than its factorization.

1585289225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1909 counting only the distinct ones).

The product of its digits is 576000, while the sum is 47.

The square root of 1585289225 is about 39815.6906884710. The cubic root of 1585289225 is about 1166.0115058487.

The spelling of 1585289225 in words is "one billion, five hundred eighty-five million, two hundred eighty-nine thousand, two hundred twenty-five".