42007532513 has 2 divisors, whose sum is σ = 42007532514. Its totient is φ = 42007532512.

The previous prime is 42007532473. The next prime is 42007532527. The reversal of 42007532513 is 31523570024.

42007532513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24577459984 + 17430072529 = 156772^2 + 132023^2 .

It is a cyclic number.

It is not a de Polignac number, because 42007532513 - 2¹⁸ = 42007270369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42007532513.

It is not a weakly prime, because it can be changed into another prime (42007538513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21003766256 + 21003766257.

It is an arithmetic number, because the mean of its divisors is an integer number (21003766257).

Almost surely, 2^42007532513 is an apocalyptic number.

It is an amenable number.

42007532513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42007532513 is an equidigital number, since it uses as much as digits as its factorization.

42007532513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 42007532513 in words is "forty-two billion, seven million, five hundred thirty-two thousand, five hundred thirteen".