1585064925 has 72 divisors (see below), whose sum is σ = 2924928864. Its totient is φ = 820068480.

The previous prime is 1585064909. The next prime is 1585064959. The reversal of 1585064925 is 5294605851.

1585064925 is a `hidden beast` number, since 1 + 58 + 506 + 4 + 92 + 5 = 666.

It is not a de Polignac number, because 1585064925 - 2⁴ = 1585064909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1673302 + ... + 1674248.

It is an arithmetic number, because the mean of its divisors is an integer number (40624012).

Almost surely, 2^1585064925 is an apocalyptic number.

1585064925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1585064925 is a deficient number, since it is larger than the sum of its proper divisors (1339863939).

1585064925 is a wasteful number, since it uses less digits than its factorization.

1585064925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 1585064925 is about 39812.8738600971. The cubic root of 1585064925 is about 1165.9565108963.

The spelling of 1585064925 in words is "one billion, five hundred eighty-five million, sixty-four thousand, nine hundred twenty-five".