513440497008 has 280 divisors, whose sum is σ = 1524217267760. Its totient is φ = 167424122880.

The previous prime is 513440497001. The next prime is 513440497019. The reversal of 513440497008 is 800794044315.

513440497008 is a `hidden beast` number, since 513 + 4 + 40 + 4 + 97 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×513440497008² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513440497001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 137318403 + ... + 137322141.

Almost surely, 2^513440497008 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 513440497008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762108633880).

513440497008 is an abundant number, since it is smaller than the sum of its proper divisors (1010776770752).

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

513440497008 is a wasteful number, since it uses less digits than its factorization.

513440497008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 513440497008 in words is "five hundred thirteen billion, four hundred forty million, four hundred ninety-seven thousand, eight".