42820513 has 2 divisors, whose sum is σ = 42820514. Its totient is φ = 42820512.

The previous prime is 42820493. The next prime is 42820537. The reversal of 42820513 is 31502824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22543504 + 20277009 = 4748^2 + 4503^2 .

It is a cyclic number.

It is not a de Polignac number, because 42820513 - 2¹⁷ = 42689441 is a prime.

It is not a weakly prime, because it can be changed into another prime (42820573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21410256 + 21410257.

It is an arithmetic number, because the mean of its divisors is an integer number (21410257).

Almost surely, 2^42820513 is an apocalyptic number.

It is an amenable number.

42820513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42820513 is an equidigital number, since it uses as much as digits as its factorization.

42820513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 42820513 is about 6543.7384574874. The cubic root of 42820513 is about 349.8516732038.

The spelling of 42820513 in words is "forty-two million, eight hundred twenty thousand, five hundred thirteen".