513959401 has 2 divisors, whose sum is σ = 513959402. Its totient is φ = 513959400.

The previous prime is 513959399. The next prime is 513959423. The reversal of 513959401 is 104959315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332114176 + 181845225 = 18224^2 + 13485^2 .

It is a cyclic number.

It is not a de Polignac number, because 513959401 - 2¹ = 513959399 is a prime.

Together with 513959399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (513959461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256979700 + 256979701.

It is an arithmetic number, because the mean of its divisors is an integer number (256979701).

Almost surely, 2^513959401 is an apocalyptic number.

It is an amenable number.

513959401 is a deficient number, since it is larger than the sum of its proper divisors (1).

513959401 is an equidigital number, since it uses as much as digits as its factorization.

513959401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 513959401 is about 22670.6727072665. The cubic root of 513959401 is about 801.0192222851.

The spelling of 513959401 in words is "five hundred thirteen million, nine hundred fifty-nine thousand, four hundred one".