1001604513 has 64 divisors (see below), whose sum is σ = 1786265600. Its totient is φ = 484289280.

The previous prime is 1001604509. The next prime is 1001604517. The reversal of 1001604513 is 3154061001.

It is an interprime number because it is at equal distance from previous prime (1001604509) and next prime (1001604517).

It is not a de Polignac number, because 1001604513 - 2² = 1001604509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001604513.

It is not an unprimeable number, because it can be changed into a prime (1001604517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157683 + ... + 163911.

It is an arithmetic number, because the mean of its divisors is an integer number (27910400).

Almost surely, 2^1001604513 is an apocalyptic number.

1001604513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001604513 is a deficient number, since it is larger than the sum of its proper divisors (784661087).

1001604513 is a wasteful number, since it uses less digits than its factorization.

1001604513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1001604513 is about 31648.1360114620. The cubic root of 1001604513 is about 1000.5345518700.

Adding to 1001604513 its reverse (3154061001), we get a palindrome (4155665514).

The spelling of 1001604513 in words is "one billion, one million, six hundred four thousand, five hundred thirteen".