513402432041520 has 240 divisors, whose sum is σ = 1975856612321280. Its totient is φ = 117029374511616.

The previous prime is 513402432041503. The next prime is 513402432041549. The reversal of 513402432041520 is 25140234204315.

It is a happy number.

513402432041520 is a `hidden beast` number, since 5 + 1 + 3 + 40 + 24 + 32 + 0 + 41 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×513402432041520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136931740 + ... + 140631099.

It is an arithmetic number, because the mean of its divisors is an integer number (8232735884672).

Almost surely, 2^{513402432041520} is an apocalyptic number.

It is an amenable number.

513402432041520 is an abundant number, since it is smaller than the sum of its proper divisors (1462454180279760).

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

513402432041520 is a wasteful number, since it uses less digits than its factorization.

513402432041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277563232 (or 277563223 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 513402432041520 its reverse (25140234204315), we get a palindrome (538542666245835).

The spelling of 513402432041520 in words is "five hundred thirteen trillion, four hundred two billion, four hundred thirty-two million, forty-one thousand, five hundred twenty".