2724977552513 has 2 divisors, whose sum is σ = 2724977552514. Its totient is φ = 2724977552512.

The previous prime is 2724977552509. The next prime is 2724977552537. The reversal of 2724977552513 is 3152557794272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2290476418624 + 434501133889 = 1513432^2 + 659167^2 .

It is a cyclic number.

It is not a de Polignac number, because 2724977552513 - 2² = 2724977552509 is a prime.

It is a super-3 number, since 3×2724977552513³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2724977552543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1362488776256 + 1362488776257.

It is an arithmetic number, because the mean of its divisors is an integer number (1362488776257).

Almost surely, 2^{2724977552513} is an apocalyptic number.

It is an amenable number.

2724977552513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2724977552513 is an equidigital number, since it uses as much as digits as its factorization.

2724977552513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 37044000, while the sum is 59.

The spelling of 2724977552513 in words is "two trillion, seven hundred twenty-four billion, nine hundred seventy-seven million, five hundred fifty-two thousand, five hundred thirteen".