1013508034560 has 2496 divisors, whose sum is σ = 4636866124800. Its totient is φ = 203465687040.

The previous prime is 1013508034523. The next prime is 1013508034619. The reversal of 1013508034560 is 654308053101.

1013508034560 is a `hidden beast` number, since 1 + 0 + 13 + 5 + 0 + 80 + 3 + 4 + 560 = 666.

It is a super-2 number, since 2×1013508034560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24719708140 + ... + 24719708180.

It is an arithmetic number, because the mean of its divisors is an integer number (1857718800).

Almost surely, 2^{1013508034560} is an apocalyptic number.

1013508034560 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 1013508034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318433062400).

1013508034560 is an abundant number, since it is smaller than the sum of its proper divisors (3623358090240).

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

1013508034560 is a wasteful number, since it uses less digits than its factorization.

1013508034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1013508034560 in words is "one trillion, thirteen billion, five hundred eight million, thirty-four thousand, five hundred sixty".