64513024 has 33 divisors (see below), whose sum is σ = 129478891. Its totient is φ = 32128000.

The previous prime is 64513021. The next prime is 64513069. The reversal of 64513024 is 42031546.

The square root of 64513024 is 8032.

It is a perfect power (a square), and thus also a powerful number.

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 64513024.

It is not an unprimeable number, because it can be changed into a prime (64513021) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 256899 + ... + 257149.

Almost surely, 2^64513024 is an apocalyptic number.

64513024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

64513024 is the 8032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64513024

64513024 is an abundant number, since it is smaller than the sum of its proper divisors (64965867).

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

64513024 is an frugal number, since it uses more digits than its factorization.

64513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 64513024 is about 401.0659568168.

Multiplying 64513024 by its sum of digits (25), we get a square (1612825600 = 40160²).

The spelling of 64513024 in words is "sixty-four million, five hundred thirteen thousand, twenty-four".