48513519002413 has 2 divisors, whose sum is σ = 48513519002414. Its totient is φ = 48513519002412.

The previous prime is 48513519002329. The next prime is 48513519002461. The reversal of 48513519002413 is 31420091531584.

48513519002413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48300095329929 + 213423672484 = 6949827^2 + 461978^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-48513519002413 is a prime.

It is a super-3 number, since 3×48513519002413³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48513519002483) by changing a digit.

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 as a sum of consecutive naturals, namely, 24256759501206 + 24256759501207.

It is an arithmetic number, because the mean of its divisors is an integer number (24256759501207).

Almost surely, 2^{48513519002413} is an apocalyptic number.

It is an amenable number.

48513519002413 is a deficient number, since it is larger than the sum of its proper divisors (1).

48513519002413 is an equidigital number, since it uses as much as digits as its factorization.

48513519002413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 48513519002413 in words is "forty-eight trillion, five hundred thirteen billion, five hundred nineteen million, two thousand, four hundred thirteen".