513310225131344 has 40 divisors (see below), whose sum is σ = 1028836589801160. Its totient is φ = 247804070266368.

The previous prime is 513310225131313. The next prime is 513310225131383. The reversal of 513310225131344 is 443131522013315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4685406576400 + 508624818554944 = 2164580^2 + 22552712^2 .

It is a super-2 number, since 2×513310225131344² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513310225131298 and 513310225131307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142617962 + ... + 146172854.

It is an arithmetic number, because the mean of its divisors is an integer number (25720914745029).

Almost surely, 2^{513310225131344} is an apocalyptic number.

It is an amenable number.

513310225131344 is an abundant number, since it is smaller than the sum of its proper divisors (515526364669816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513310225131344 is a wasteful number, since it uses less digits than its factorization.

513310225131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866127 (or 3866121 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 513310225131344 its reverse (443131522013315), we get a palindrome (956441747144659).

The spelling of 513310225131344 in words is "five hundred thirteen trillion, three hundred ten billion, two hundred twenty-five million, one hundred thirty-one thousand, three hundred forty-four".