510524406340 has 24 divisors (see below), whose sum is σ = 1154570581080. Its totient is φ = 188501319168.

The previous prime is 510524406311. The next prime is 510524406391. The reversal of 510524406340 is 43604425015.

It can be written as a sum of positive squares in 4 ways, for example, as 34068299776 + 476456106564 = 184576^2 + 690258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 510524406296 and 510524406305.

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 7 ways as a sum of consecutive naturals, for example, 981777445 + ... + 981777964.

It is an arithmetic number, because the mean of its divisors is an integer number (48107107545).

Almost surely, 2^510524406340 is an apocalyptic number.

It is an amenable number.

510524406340 is an abundant number, since it is smaller than the sum of its proper divisors (644046174740).

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

510524406340 is a wasteful number, since it uses less digits than its factorization.

510524406340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963555431 (or 1963555429 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 510524406340 in words is "five hundred ten billion, five hundred twenty-four million, four hundred six thousand, three hundred forty".