513353310722040 has 1152 divisors, whose sum is σ = 1767111723072000. Its totient is φ = 119107556628480.

The previous prime is 513353310722033. The next prime is 513353310722047. The reversal of 513353310722040 is 40227013353315.

It is an interprime number because it is at equal distance from previous prime (513353310722033) and next prime (513353310722047).

It is a super-2 number, since 2×513353310722040² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 513353310722040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513353310722047) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71229816117 + ... + 71229823323.

It is an arithmetic number, because the mean of its divisors is an integer number (1533951148500).

Almost surely, 2^{513353310722040} 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 513353310722040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883555861536000).

513353310722040 is an abundant number, since it is smaller than the sum of its proper divisors (1253758412349960).

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

513353310722040 is a wasteful number, since it uses less digits than its factorization.

513353310722040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 513353310722040 in words is "five hundred thirteen trillion, three hundred fifty-three billion, three hundred ten million, seven hundred twenty-two thousand, forty".