513624045 has 16 divisors (see below), whose sum is σ = 896507712. Its totient is φ = 249029760.

The previous prime is 513624029. The next prime is 513624049. The reversal of 513624045 is 540426315.

It is not a de Polignac number, because 513624045 - 2⁴ = 513624029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513624049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556272 + ... + 1556601.

It is an arithmetic number, because the mean of its divisors is an integer number (56031732).

Almost surely, 2^513624045 is an apocalyptic number.

513624045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513624045 is a deficient number, since it is larger than the sum of its proper divisors (382883667).

513624045 is a wasteful number, since it uses less digits than its factorization.

513624045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112892.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 513624045 is about 22663.2752487367. The cubic root of 513624045 is about 800.8449640014.

The spelling of 513624045 in words is "five hundred thirteen million, six hundred twenty-four thousand, forty-five".