513031101440 has 352 divisors, whose sum is σ = 1460077871616. Its totient is φ = 170509271040.

The previous prime is 513031101397. The next prime is 513031101463. The reversal of 513031101440 is 44101130315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×513031101440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75409079 + ... + 75415881.

Almost surely, 2^513031101440 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 513031101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730038935808).

513031101440 is an abundant number, since it is smaller than the sum of its proper divisors (947046770176).

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

513031101440 is a wasteful number, since it uses less digits than its factorization.

513031101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 513031101440 its reverse (44101130315), we get a palindrome (557132231755).

The spelling of 513031101440 in words is "five hundred thirteen billion, thirty-one million, one hundred one thousand, four hundred forty".