1005013563064 has 32 divisors (see below), whose sum is σ = 2153668589280. Its totient is φ = 430706479104.

The previous prime is 1005013563031. The next prime is 1005013563107. The reversal of 1005013563064 is 4603653105001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615624 + ... + 2149480.

It is an arithmetic number, because the mean of its divisors is an integer number (67302143415).

Almost surely, 2^{1005013563064} is an apocalyptic number.

1005013563064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1005013563064 is an abundant number, since it is smaller than the sum of its proper divisors (1148655026216).

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

1005013563064 is a wasteful number, since it uses less digits than its factorization.

1005013563064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567487 (or 567483 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 1005013563064 its reverse (4603653105001), we get a palindrome (5608666668065).

The spelling of 1005013563064 in words is "one trillion, five billion, thirteen million, five hundred sixty-three thousand, sixty-four".