513133489440 has 864 divisors, whose sum is σ = 2182060520640. Its totient is φ = 108774420480.

The previous prime is 513133489439. The next prime is 513133489441. The reversal of 513133489440 is 44984331315.

513133489440 is a `hidden beast` number, since 5 + 131 + 33 + 48 + 9 + 440 = 666.

513133489440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (513133489439) and next prime (513133489441).

It is a super-3 number, since 3×513133489440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (513133489441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43031319 + ... + 43043241.

It is an arithmetic number, because the mean of its divisors is an integer number (2525533010).

Almost surely, 2^513133489440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513133489440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091030260320).

513133489440 is an abundant number, since it is smaller than the sum of its proper divisors (1668927031200).

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

513133489440 is a wasteful number, since it uses less digits than its factorization.

513133489440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 513133489440 in words is "five hundred thirteen billion, one hundred thirty-three million, four hundred eighty-nine thousand, four hundred forty".