1585253040 has 80 divisors (see below), whose sum is σ = 5616331008. Its totient is φ = 362343168.

The previous prime is 1585253003. The next prime is 1585253041. The reversal of 1585253040 is 403525851.

1585253040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1585252992 and 1585253010.

It is not an unprimeable number, because it can be changed into a prime (1585253041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470122 + ... + 473481.

Almost surely, 2^1585253040 is an apocalyptic number.

1585253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1585253040 is an abundant number, since it is smaller than the sum of its proper divisors (4031077968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1585253040 is a wasteful number, since it uses less digits than its factorization.

1585253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943626 (or 943620 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 1585253040 is about 39815.2362795953. The cubic root of 1585253040 is about 1166.0026341874.

Adding to 1585253040 its reverse (403525851), we get a palindrome (1988778891).

The spelling of 1585253040 in words is "one billion, five hundred eighty-five million, two hundred fifty-three thousand, forty".