513550153532313 has 12 divisors (see below), whose sum is σ = 741797359282980. Its totient is φ = 342365526066336.

The previous prime is 513550153532219. The next prime is 513550153532329. The reversal of 513550153532313 is 313235351055315.

513550153532313 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 50 + 1 + 53 + 532 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135673760776464 + 377876392755849 = 11647908^2 + 19439043^2 .

It is not a de Polignac number, because 513550153532313 - 2²¹ = 513550151435161 is a prime.

It is a super-2 number, since 2×513550153532313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513550153532333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100959378 + ... + 105924011.

It is an arithmetic number, because the mean of its divisors is an integer number (61816446606915).

Almost surely, 2^{513550153532313} is an apocalyptic number.

It is an amenable number.

513550153532313 is a deficient number, since it is larger than the sum of its proper divisors (228247205750667).

513550153532313 is a wasteful number, since it uses less digits than its factorization.

513550153532313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207159208 (or 207159205 counting only the distinct ones).

The product of its (nonzero) digits is 1518750, while the sum is 45.

The spelling of 513550153532313 in words is "five hundred thirteen trillion, five hundred fifty billion, one hundred fifty-three million, five hundred thirty-two thousand, three hundred thirteen".