420157513 has 2 divisors, whose sum is σ = 420157514. Its totient is φ = 420157512.

The previous prime is 420157457. The next prime is 420157523. The reversal of 420157513 is 315751024.

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., 419102784 + 1054729 = 20472^2 + 1027^2 .

It is a cyclic number.

It is not a de Polignac number, because 420157513 - 2¹³ = 420149321 is a prime.

It is equal to p_22352383 and since 420157513 and 22352383 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (420157523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210078756 + 210078757.

It is an arithmetic number, because the mean of its divisors is an integer number (210078757).

Almost surely, 2^420157513 is an apocalyptic number.

It is an amenable number.

420157513 is a deficient number, since it is larger than the sum of its proper divisors (1).

420157513 is an equidigital number, since it uses as much as digits as its factorization.

420157513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 420157513 is about 20497.7440953877. The cubic root of 420157513 is about 748.9808456524.

The spelling of 420157513 in words is "four hundred twenty million, one hundred fifty-seven thousand, five hundred thirteen".