213529861500921 has 45 divisors (see below), whose sum is σ = 371056136095029. Its totient is φ = 122016537659016.

The previous prime is 213529861500869. The next prime is 213529861501027. The reversal of 213529861500921 is 129005168925312.

The square root of 213529861500921 is 14612661.

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

213529861500921 is a `hidden beast` number, since 2 + 1 + 3 + 52 + 9 + 8 + 61 + 500 + 9 + 21 = 666.

It is not a de Polignac number, because 213529861500921 - 2³⁹ = 212980105687033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213529861500421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 920481670 + ... + 920713616.

Almost surely, 2^{213529861500921} is an apocalyptic number.

213529861500921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213529861500921 is the 14612661-st square number.

213529861500921 is the 7306331-st centered octagonal number.

It is an amenable number.

213529861500921 is a deficient number, since it is larger than the sum of its proper divisors (157526274594108).

213529861500921 is an frugal number, since it uses more digits than its factorization.

213529861500921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463920 (or 231957 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 213529861500921 in words is "two hundred thirteen trillion, five hundred twenty-nine billion, eight hundred sixty-one million, five hundred thousand, nine hundred twenty-one".