513431997 has 32 divisors (see below), whose sum is σ = 758478336. Its totient is φ = 306936000.

The previous prime is 513431953. The next prime is 513431999. The reversal of 513431997 is 799134315.

It is not a de Polignac number, because 513431997 - 2²² = 509237693 is a prime.

It is a super-2 number, since 2×513431997² = 527224831086816018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513431999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353122 + ... + 354572.

It is an arithmetic number, because the mean of its divisors is an integer number (23702448).

Almost surely, 2^513431997 is an apocalyptic number.

It is an amenable number.

513431997 is a deficient number, since it is larger than the sum of its proper divisors (245046339).

513431997 is a wasteful number, since it uses less digits than its factorization.

513431997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721.

The product of its digits is 102060, while the sum is 42.

The square root of 513431997 is about 22659.0378657171. The cubic root of 513431997 is about 800.7451375180.

The spelling of 513431997 in words is "five hundred thirteen million, four hundred thirty-one thousand, nine hundred ninety-seven".