510616361431140 has 24 divisors (see below), whose sum is σ = 1429725812007360. Its totient is φ = 136164363048288.

The previous prime is 510616361431091. The next prime is 510616361431207. The reversal of 510616361431140 is 41134163616015.

It is a happy number.

It is a super-2 number, since 2×510616361431140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 510616361431092 and 510616361431101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4255136345200 + ... + 4255136345319.

It is an arithmetic number, because the mean of its divisors is an integer number (59571908833640).

Almost surely, 2^{510616361431140} is an apocalyptic number.

It is an amenable number.

510616361431140 is an abundant number, since it is smaller than the sum of its proper divisors (919109450576220).

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

510616361431140 is a wasteful number, since it uses less digits than its factorization.

510616361431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510272690531 (or 8510272690529 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 510616361431140 in words is "five hundred ten trillion, six hundred sixteen billion, three hundred sixty-one million, four hundred thirty-one thousand, one hundred forty".