513519400848 has 20 divisors (see below), whose sum is σ = 1326591785648. Its totient is φ = 171173133600.

The previous prime is 513519400837. The next prime is 513519400909. The reversal of 513519400848 is 848004915315.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 10698320851 = 513519400848 / (5 + 1 + 3 + 5 + 1 + 9 + 4 + 0 + 0 + 8 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 513519400797 and 513519400806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5349160378 + ... + 5349160473.

Almost surely, 2^513519400848 is an apocalyptic number.

It is an amenable number.

513519400848 is an abundant number, since it is smaller than the sum of its proper divisors (813072384800).

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

513519400848 is a wasteful number, since it uses less digits than its factorization.

513519400848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698320862 (or 10698320856 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 513519400848 in words is "five hundred thirteen billion, five hundred nineteen million, four hundred thousand, eight hundred forty-eight".