513366630161070 has 128 divisors (see below), whose sum is σ = 1413167034885120. Its totient is φ = 116918006768640.

The previous prime is 513366630161057. The next prime is 513366630161071. The reversal of 513366630161070 is 70161036663315.

It is a super-3 number, since 3×513366630161070³ (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513366630161071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1368195309 + ... + 1368570471.

It is an arithmetic number, because the mean of its divisors is an integer number (11040367460040).

Almost surely, 2^{513366630161070} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513366630161070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706583517442560).

513366630161070 is an abundant number, since it is smaller than the sum of its proper divisors (899800404724050).

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

513366630161070 is a wasteful number, since it uses less digits than its factorization.

513366630161070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398650.

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 513366630161070 in words is "five hundred thirteen trillion, three hundred sixty-six billion, six hundred thirty million, one hundred sixty-one thousand, seventy".