42001540513 has 2 divisors, whose sum is σ = 42001540514. Its totient is φ = 42001540512.

The previous prime is 42001540489. The next prime is 42001540519. The reversal of 42001540513 is 31504510024.

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., 41725415824 + 276124689 = 204268^2 + 16617^2 .

It is a cyclic number.

It is not a de Polignac number, because 42001540513 - 2³³ = 33411605921 is a prime.

It is not a weakly prime, because it can be changed into another prime (42001540519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21000770256 + 21000770257.

It is an arithmetic number, because the mean of its divisors is an integer number (21000770257).

Almost surely, 2^42001540513 is an apocalyptic number.

It is an amenable number.

42001540513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42001540513 is an equidigital number, since it uses as much as digits as its factorization.

42001540513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 42001540513 in words is "forty-two billion, one million, five hundred forty thousand, five hundred thirteen".