1130513267520 has 1120 divisors, whose sum is σ = 5109448329216. Its totient is φ = 230816563200.

The previous prime is 1130513267473. The next prime is 1130513267581. The reversal of 1130513267520 is 257623150311.

1130513267520 is a `hidden beast` number, since 1 + 1 + 30 + 513 + 2 + 67 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 73112590 + ... + 73128050.

Almost surely, 2^{1130513267520} is an apocalyptic number.

1130513267520 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 1130513267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554724164608).

1130513267520 is an abundant number, since it is smaller than the sum of its proper divisors (3978935061696).

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

1130513267520 is a wasteful number, since it uses less digits than its factorization.

1130513267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15541 (or 15522 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1130513267520 in words is "one trillion, one hundred thirty billion, five hundred thirteen million, two hundred sixty-seven thousand, five hundred twenty".