513665521125120 has 4320 divisors, whose sum is σ = 2371860871446528. Its totient is φ = 105155893592064.

The previous prime is 513665521125089. The next prime is 513665521125131. The reversal of 513665521125120 is 21521125566315.

513665521125120 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 65 + 521 + 12 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×513665521125120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 394217590389 + ... + 394217591691.

Almost surely, 2^{513665521125120} 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 513665521125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185930435723264).

513665521125120 is an abundant number, since it is smaller than the sum of its proper divisors (1858195350321408).

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

513665521125120 is a wasteful number, since it uses less digits than its factorization.

513665521125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 513665521125120 in words is "five hundred thirteen trillion, six hundred sixty-five billion, five hundred twenty-one million, one hundred twenty-five thousand, one hundred twenty".