513105200093 has 16 divisors (see below), whose sum is σ = 572037480000. Its totient is φ = 457381147392.

The previous prime is 513105200087. The next prime is 513105200117. The reversal of 513105200093 is 390002501315.

It is not a de Polignac number, because 513105200093 - 2⁶ = 513105200029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513105200393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983858 + ... + 1412156.

It is an arithmetic number, because the mean of its divisors is an integer number (35752342500).

Almost surely, 2^513105200093 is an apocalyptic number.

It is an amenable number.

513105200093 is a deficient number, since it is larger than the sum of its proper divisors (58932279907).

513105200093 is a wasteful number, since it uses less digits than its factorization.

513105200093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432044.

The product of its (nonzero) digits is 4050, while the sum is 29.

The spelling of 513105200093 in words is "five hundred thirteen billion, one hundred five million, two hundred thousand, ninety-three".