2523154240513 has 2 divisors, whose sum is σ = 2523154240514. Its totient is φ = 2523154240512.

The previous prime is 2523154240511. The next prime is 2523154240517. The reversal of 2523154240513 is 3150424513252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2301188879089 + 221965361424 = 1516967^2 + 471132^2 .

It is a cyclic number.

It is not a de Polignac number, because 2523154240513 - 2¹ = 2523154240511 is a prime.

It is a super-3 number, since 3×2523154240513³ (a number of 38 digits) contains 333 as substring.

Together with 2523154240511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2523154240511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1261577120256 + 1261577120257.

It is an arithmetic number, because the mean of its divisors is an integer number (1261577120257).

Almost surely, 2^{2523154240513} is an apocalyptic number.

It is an amenable number.

2523154240513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2523154240513 is an equidigital number, since it uses as much as digits as its factorization.

2523154240513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 2523154240513 its reverse (3150424513252), we get a palindrome (5673578753765).

The spelling of 2523154240513 in words is "two trillion, five hundred twenty-three billion, one hundred fifty-four million, two hundred forty thousand, five hundred thirteen".