13500312541 has 2 divisors, whose sum is σ = 13500312542. Its totient is φ = 13500312540.

The previous prime is 13500312509. The next prime is 13500312569. The reversal of 13500312541 is 14521300531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9555844516 + 3944468025 = 97754^2 + 62805^2 .

It is a cyclic number.

It is not a de Polignac number, because 13500312541 - 2⁵ = 13500312509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13500312641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6750156270 + 6750156271.

It is an arithmetic number, because the mean of its divisors is an integer number (6750156271).

Almost surely, 2^13500312541 is an apocalyptic number.

It is an amenable number.

13500312541 is a deficient number, since it is larger than the sum of its proper divisors (1).

13500312541 is an equidigital number, since it uses as much as digits as its factorization.

13500312541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 25.

It can be divided in two parts, 13500 and 312541, that added together give a square (326041 = 571²).

The spelling of 13500312541 in words is "thirteen billion, five hundred million, three hundred twelve thousand, five hundred forty-one".