1005513680 has 80 divisors (see below), whose sum is σ = 2386347264. Its totient is φ = 393937920.

The previous prime is 1005513647. The next prime is 1005513697. The reversal of 1005513680 is 863155001.

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

It is a super-2 number, since 2×1005513680² = 2022115521334284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974765 + ... + 975795.

Almost surely, 2^1005513680 is an apocalyptic number.

1005513680 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 1005513680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193173632).

1005513680 is an abundant number, since it is smaller than the sum of its proper divisors (1380833584).

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

1005513680 is a wasteful number, since it uses less digits than its factorization.

1005513680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1005513680 is about 31709.8356980922. The cubic root of 1005513680 is about 1001.8345257904.

Adding to 1005513680 its reverse (863155001), we get a palindrome (1868668681).

It can be divided in two parts, 100 and 5513680, that multiplied together give a cube (551368000 = 820³).

The spelling of 1005513680 in words is "one billion, five million, five hundred thirteen thousand, six hundred eighty".