513251123120415 has 48 divisors (see below), whose sum is σ = 949383828476928. Its totient is φ = 255603338339328.

The previous prime is 513251123120341. The next prime is 513251123120423. The reversal of 513251123120415 is 514021321152315.

513251123120415 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 5 + 1 + 1 + 231 + 2 + 0 + 415 = 666.

It is not a de Polignac number, because 513251123120415 - 2⁸ = 513251123120159 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513251123120415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2641306392 + ... + 2641500701.

It is an arithmetic number, because the mean of its divisors is an integer number (19778829759936).

Almost surely, 2^{513251123120415} is an apocalyptic number.

513251123120415 is a deficient number, since it is larger than the sum of its proper divisors (436132705356513).

513251123120415 is a wasteful number, since it uses less digits than its factorization.

513251123120415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282807248 (or 5282807245 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 513251123120415 in words is "five hundred thirteen trillion, two hundred fifty-one billion, one hundred twenty-three million, one hundred twenty thousand, four hundred fifteen".