513413024131353 has 32 divisors (see below), whose sum is σ = 696731803132032. Its totient is φ = 336200321318400.

The previous prime is 513413024131313. The next prime is 513413024131379. The reversal of 513413024131353 is 353131420314315.

It is not a de Polignac number, because 513413024131353 - 2¹³ = 513413024123161 is a prime.

It is a super-2 number, since 2×513413024131353² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513413024131313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2337698175 + ... + 2337917787.

It is an arithmetic number, because the mean of its divisors is an integer number (21772868847876).

Almost surely, 2^{513413024131353} is an apocalyptic number.

It is an amenable number.

513413024131353 is a deficient number, since it is larger than the sum of its proper divisors (183318779000679).

513413024131353 is a wasteful number, since it uses less digits than its factorization.

513413024131353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237225.

The product of its (nonzero) digits is 194400, while the sum is 39.

Adding to 513413024131353 its reverse (353131420314315), we get a palindrome (866544444445668).

The spelling of 513413024131353 in words is "five hundred thirteen trillion, four hundred thirteen billion, twenty-four million, one hundred thirty-one thousand, three hundred fifty-three".