513670464 has 56 divisors (see below), whose sum is σ = 1510101120. Its totient is φ = 171222912.

The previous prime is 513670463. The next prime is 513670471. The reversal of 513670464 is 464076315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513670463) 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 7 ways as a sum of consecutive naturals, for example, 146904 + ... + 150359.

Almost surely, 2^513670464 is an apocalyptic number.

513670464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513670464 is an abundant number, since it is smaller than the sum of its proper divisors (996430656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513670464 is a wasteful number, since it uses less digits than its factorization.

513670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297284 (or 297268 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 513670464 is about 22664.2993273562. The cubic root of 513670464 is about 800.8690888472.

The spelling of 513670464 in words is "five hundred thirteen million, six hundred seventy thousand, four hundred sixty-four".