1002509985 has 16 divisors (see below), whose sum is σ = 1605550464. Its totient is φ = 534160512.

The previous prime is 1002509971. The next prime is 1002509987. The reversal of 1002509985 is 5899052001.

It is not a de Polignac number, because 1002509985 - 2¹³ = 1002501793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002509987) 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, 15492 + ... + 47381.

It is an arithmetic number, because the mean of its divisors is an integer number (100346904).

Almost surely, 2^1002509985 is an apocalyptic number.

1002509985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002509985 is a deficient number, since it is larger than the sum of its proper divisors (603040479).

1002509985 is a wasteful number, since it uses less digits than its factorization.

1002509985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63944.

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 1002509985 is about 31662.4380773181. The cubic root of 1002509985 is about 1000.8359626384.

The spelling of 1002509985 in words is "one billion, two million, five hundred nine thousand, nine hundred eighty-five".