10042588513 has 2 divisors, whose sum is σ = 10042588514. Its totient is φ = 10042588512.

The previous prime is 10042588487. The next prime is 10042588519. The reversal of 10042588513 is 31588524001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7703221824 + 2339366689 = 87768^2 + 48367^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042588513 - 2⁵ = 10042588481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10042588519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5021294256 + 5021294257.

It is an arithmetic number, because the mean of its divisors is an integer number (5021294257).

Almost surely, 2^10042588513 is an apocalyptic number.

It is an amenable number.

10042588513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042588513 is an equidigital number, since it uses as much as digits as its factorization.

10042588513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 10042588513 in words is "ten billion, forty-two million, five hundred eighty-eight thousand, five hundred thirteen".