429992513 has 2 divisors, whose sum is σ = 429992514. Its totient is φ = 429992512.

The previous prime is 429992473. The next prime is 429992527. The reversal of 429992513 is 315299924.

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., 290941249 + 139051264 = 17057^2 + 11792^2 .

It is a cyclic number.

It is not a de Polignac number, because 429992513 - 2⁶ = 429992449 is a prime.

It is a super-2 number, since 2×429992513² = 369787122472110338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (429992593) 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, 214996256 + 214996257.

It is an arithmetic number, because the mean of its divisors is an integer number (214996257).

Almost surely, 2^429992513 is an apocalyptic number.

It is an amenable number.

429992513 is a deficient number, since it is larger than the sum of its proper divisors (1).

429992513 is an equidigital number, since it uses as much as digits as its factorization.

429992513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 174960, while the sum is 44.

The square root of 429992513 is about 20736.2608249414. The cubic root of 429992513 is about 754.7798507293.

The spelling of 429992513 in words is "four hundred twenty-nine million, nine hundred ninety-two thousand, five hundred thirteen".