2731562513513 has 2 divisors, whose sum is σ = 2731562513514. Its totient is φ = 2731562513512.

The previous prime is 2731562513429. The next prime is 2731562513551. The reversal of 2731562513513 is 3153152651372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1485063951424 + 1246498562089 = 1218632^2 + 1116467^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731562513513 - 2¹⁰ = 2731562512489 is a prime.

It is a super-2 number, since 2×2731562513513² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2731562510513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365781256756 + 1365781256757.

It is an arithmetic number, because the mean of its divisors is an integer number (1365781256757).

Almost surely, 2^{2731562513513} is an apocalyptic number.

It is an amenable number.

2731562513513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731562513513 is an equidigital number, since it uses as much as digits as its factorization.

2731562513513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 567000, while the sum is 44.

The spelling of 2731562513513 in words is "two trillion, seven hundred thirty-one billion, five hundred sixty-two million, five hundred thirteen thousand, five hundred thirteen".