213504753 has 32 divisors (see below), whose sum is σ = 363589632. Its totient is φ = 108201600.

The previous prime is 213504743. The next prime is 213504769. The reversal of 213504753 is 357405312.

It is not a de Polignac number, because 213504753 - 2¹⁸ = 213242609 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213504753.

It is not an unprimeable number, because it can be changed into a prime (213504743) 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, 1801 + ... + 20742.

It is an arithmetic number, because the mean of its divisors is an integer number (11362176).

Almost surely, 2^213504753 is an apocalyptic number.

It is an amenable number.

213504753 is a deficient number, since it is larger than the sum of its proper divisors (150084879).

213504753 is a wasteful number, since it uses less digits than its factorization.

213504753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22605.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 213504753 is about 14611.8018396090. The cubic root of 213504753 is about 597.6806318831.

The spelling of 213504753 in words is "two hundred thirteen million, five hundred four thousand, seven hundred fifty-three".