513616407 has 8 divisors (see below), whose sum is σ = 686290176. Its totient is φ = 341676792.

The previous prime is 513616333. The next prime is 513616409. The reversal of 513616407 is 704616315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513616407 - 2¹⁰ = 513615383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513616409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181903 + ... + 184704.

It is an arithmetic number, because the mean of its divisors is an integer number (85786272).

Almost surely, 2^513616407 is an apocalyptic number.

513616407 is a deficient number, since it is larger than the sum of its proper divisors (172673769).

513616407 is a wasteful number, since it uses less digits than its factorization.

513616407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367077.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 513616407 is about 22663.1067376033. The cubic root of 513616407 is about 800.8409942469.

The spelling of 513616407 in words is "five hundred thirteen million, six hundred sixteen thousand, four hundred seven".