1013520456040 has 32 divisors (see below), whose sum is σ = 2286634740480. Its totient is φ = 404303522112.

The previous prime is 1013520456037. The next prime is 1013520456049. The reversal of 1013520456040 is 406540253101.

It is a happy number.

It is a super-3 number, since 3×1013520456040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013520455993 and 1013520456011.

It is not an unprimeable number, because it can be changed into a prime (1013520456049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34505772 + ... + 34535131.

It is an arithmetic number, because the mean of its divisors is an integer number (71457335640).

Almost surely, 2^{1013520456040} is an apocalyptic number.

1013520456040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013520456040 is an abundant number, since it is smaller than the sum of its proper divisors (1273114284440).

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

1013520456040 is a wasteful number, since it uses less digits than its factorization.

1013520456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69041281 (or 69041277 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 1013520456040 in words is "one trillion, thirteen billion, five hundred twenty million, four hundred fifty-six thousand, forty".