513431152025417 has 2 divisors, whose sum is σ = 513431152025418. Its totient is φ = 513431152025416.

The previous prime is 513431152025347. The next prime is 513431152025543. The reversal of 513431152025417 is 714520251134315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 387649790502976 + 125781361522441 = 19688824^2 + 11215229^2 .

It is a cyclic number.

It is not a de Polignac number, because 513431152025417 - 2¹⁶ = 513431151959881 is a prime.

It is a super-2 number, since 2×513431152025417² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (513431152085417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256715576012708 + 256715576012709.

It is an arithmetic number, because the mean of its divisors is an integer number (256715576012709).

Almost surely, 2^{513431152025417} is an apocalyptic number.

It is an amenable number.

513431152025417 is a deficient number, since it is larger than the sum of its proper divisors (1).

513431152025417 is an equidigital number, since it uses as much as digits as its factorization.

513431152025417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 513431152025417 in words is "five hundred thirteen trillion, four hundred thirty-one billion, one hundred fifty-two million, twenty-five thousand, four hundred seventeen".