1001605000 has 80 divisors (see below), whose sum is σ = 2560242960. Its totient is φ = 364200000.

The previous prime is 1001604979. The next prime is 1001605013. The reversal of 1001605000 is 5061001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45895 + ... + 64105.

It is an arithmetic number, because the mean of its divisors is an integer number (32003037).

Almost surely, 2^1001605000 is an apocalyptic number.

1001605000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280121480).

1001605000 is an abundant number, since it is smaller than the sum of its proper divisors (1558637960).

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

1001605000 is a wasteful number, since it uses less digits than its factorization.

1001605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18248 (or 18229 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1001605000 is about 31648.1437054371. The cubic root of 1001605000 is about 1000.5347140299.

Adding to 1001605000 its reverse (5061001), we get a palindrome (1006666001).

The spelling of 1001605000 in words is "one billion, one million, six hundred five thousand".