513103997 has 16 divisors (see below), whose sum is σ = 590872320. Its totient is φ = 436468608.

The previous prime is 513103939. The next prime is 513104057. The reversal of 513103997 is 799301315.

It is a cyclic number.

It is not a de Polignac number, because 513103997 - 2¹² = 513099901 is a prime.

It is a super-3 number, since 3×513103997³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513103997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513103697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792728 + ... + 793374.

It is an arithmetic number, because the mean of its divisors is an integer number (36929520).

Almost surely, 2^513103997 is an apocalyptic number.

It is an amenable number.

513103997 is a deficient number, since it is larger than the sum of its proper divisors (77768323).

513103997 is a wasteful number, since it uses less digits than its factorization.

513103997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340.

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 513103997 is about 22651.7989793305. The cubic root of 513103997 is about 800.5745856529.

The spelling of 513103997 in words is "five hundred thirteen million, one hundred three thousand, nine hundred ninety-seven".