510364552140 has 120 divisors (see below), whose sum is σ = 1656240672240. Its totient is φ = 131404194432.

The previous prime is 510364552133. The next prime is 510364552163. The reversal of 510364552140 is 41255463015.

510364552140 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 64 + 552 + 1 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 510364552095 and 510364552104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5384742 + ... + 5478701.

It is an arithmetic number, because the mean of its divisors is an integer number (13802005602).

Almost surely, 2^510364552140 is an apocalyptic number.

It is an amenable number.

510364552140 is an abundant number, since it is smaller than the sum of its proper divisors (1145876120100).

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

510364552140 is a wasteful number, since it uses less digits than its factorization.

510364552140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863493 (or 10863482 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 510364552140 in words is "five hundred ten billion, three hundred sixty-four million, five hundred fifty-two thousand, one hundred forty".