402413513 has 2 divisors, whose sum is σ = 402413514. Its totient is φ = 402413512.

The previous prime is 402413461. The next prime is 402413519. The reversal of 402413513 is 315314204.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294191104 + 108222409 = 17152^2 + 10403^2 .

It is a cyclic number.

It is not a de Polignac number, because 402413513 - 2¹⁴ = 402397129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_21458030 and since 402413513 and 21458030 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 (402413519) 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, 201206756 + 201206757.

It is an arithmetic number, because the mean of its divisors is an integer number (201206757).

Almost surely, 2^402413513 is an apocalyptic number.

It is an amenable number.

402413513 is a deficient number, since it is larger than the sum of its proper divisors (1).

402413513 is an equidigital number, since it uses as much as digits as its factorization.

402413513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 402413513 is about 20060.2470822271. The cubic root of 402413513 is about 738.2852388246.

Adding to 402413513 its reverse (315314204), we get a palindrome (717727717).

The spelling of 402413513 in words is "four hundred two million, four hundred thirteen thousand, five hundred thirteen".