513462441 has 32 divisors (see below), whose sum is σ = 780848640. Its totient is φ = 298093824.

The previous prime is 513462421. The next prime is 513462457. The reversal of 513462441 is 144264315.

It is not a de Polignac number, because 513462441 - 2⁵ = 513462409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513462399 and 513462408.

It is not an unprimeable number, because it can be changed into a prime (513462421) 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, 35506 + ... + 47828.

It is an arithmetic number, because the mean of its divisors is an integer number (24401520).

Almost surely, 2^513462441 is an apocalyptic number.

513462441 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513462441 is a deficient number, since it is larger than the sum of its proper divisors (267386199).

513462441 is a wasteful number, since it uses less digits than its factorization.

513462441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12405.

The product of its digits is 11520, while the sum is 30.

The square root of 513462441 is about 22659.7096406816. The cubic root of 513462441 is about 800.7609639586.

The spelling of 513462441 in words is "five hundred thirteen million, four hundred sixty-two thousand, four hundred forty-one".