504135253145340 has 72 divisors (see below), whose sum is σ = 1585847685218160. Its totient is φ = 134436067504128.

The previous prime is 504135253145291. The next prime is 504135253145341. The reversal of 504135253145340 is 43541352531405.

504135253145340 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 3 + 52 + 53 + 14 + 534 + 0 = 666.

It is a super-3 number, since 3×504135253145340³ (a number of 45 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (504135253145341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51865761925 + ... + 51865771644.

Almost surely, 2^{504135253145340} is an apocalyptic number.

It is an amenable number.

504135253145340 is an abundant number, since it is smaller than the sum of its proper divisors (1081712432072820).

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

504135253145340 is a wasteful number, since it uses less digits than its factorization.

504135253145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103731533593 (or 103731533579 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 504135253145340 in words is "five hundred four trillion, one hundred thirty-five billion, two hundred fifty-three million, one hundred forty-five thousand, three hundred forty".