472513 has 4 divisors (see below), whose sum is σ = 476100. Its totient is φ = 468928.

The previous prime is 472477. The next prime is 472523. The reversal of 472513 is 315274.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 315274 = 2 ⋅157637.

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 374544 = 313^2 + 612^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-472513 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (472523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1588 + ... + 1861.

It is an arithmetic number, because the mean of its divisors is an integer number (119025).

2⁴⁷²⁵¹³ is an apocalyptic number.

It is an amenable number.

472513 is a deficient number, since it is larger than the sum of its proper divisors (3587).

472513 is a wasteful number, since it uses less digits than its factorization.

472513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586.

The product of its digits is 840, while the sum is 22.

The square root of 472513 is about 687.3958102869. The cubic root of 472513 is about 77.8881258326. Note that the first 3 decimals are identical.

Adding to 472513 its reverse (315274), we get a palindrome (787787).

It can be divided in two parts, 4725 and 13, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 472513 in words is "four hundred seventy-two thousand, five hundred thirteen".