513623202345 has 24 divisors (see below), whose sum is σ = 971214783552. Its totient is φ = 249029431200.

The previous prime is 513623202343. The next prime is 513623202347. The reversal of 513623202345 is 543202326315.

513623202345 is a `hidden beast` number, since 5 + 1 + 3 + 623 + 2 + 0 + 23 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (513623202343) and next prime (513623202347).

It is not a de Polignac number, because 513623202345 - 2¹ = 513623202343 is a prime.

It is a super-3 number, since 3×513623202345³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (513623202343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 518810821 + ... + 518811810.

It is an arithmetic number, because the mean of its divisors is an integer number (40467282648).

Almost surely, 2^513623202345 is an apocalyptic number.

513623202345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513623202345 is a deficient number, since it is larger than the sum of its proper divisors (457591581207).

513623202345 is a wasteful number, since it uses less digits than its factorization.

513623202345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037622653 (or 1037622650 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 513623202345 in words is "five hundred thirteen billion, six hundred twenty-three million, two hundred two thousand, three hundred forty-five".