513123215 has 64 divisors (see below), whose sum is σ = 759075840. Its totient is φ = 328458240.

The previous prime is 513123203. The next prime is 513123227. The reversal of 513123215 is 512321315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (513123203) and next prime (513123227).

It is not a de Polignac number, because 513123215 - 2⁴ = 513123199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 889007 + ... + 889583.

It is an arithmetic number, because the mean of its divisors is an integer number (11860560).

Almost surely, 2^513123215 is an apocalyptic number.

513123215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513123215 is a deficient number, since it is larger than the sum of its proper divisors (245952625).

513123215 is a wasteful number, since it uses less digits than its factorization.

513123215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its digits is 900, while the sum is 23.

The square root of 513123215 is about 22652.2231800766. The cubic root of 513123215 is about 800.5845805404.

The spelling of 513123215 in words is "five hundred thirteen million, one hundred twenty-three thousand, two hundred fifteen".