213029325601 has 9 divisors (see below), whose sum is σ = 213747601459. Its totient is φ = 212313460000.

The previous prime is 213029325581. The next prime is 213029325629. The reversal of 213029325601 is 106523920312.

The square root of 213029325601 is 461551.

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

It can be written as a sum of positive squares in only one way, i.e., 210909644001 + 2119681600 = 459249^2 + 46040^2 .

It is not a de Polignac number, because 213029325601 - 2⁷ = 213029325473 is a prime.

It is a super-2 number, since 2×213029325601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213029325631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185081376 + ... + 185082526.

Almost surely, 2^213029325601 is an apocalyptic number.

213029325601 is the 461551-st square number.

213029325601 is the 230776-th centered octagonal number.

It is an amenable number.

213029325601 is a deficient number, since it is larger than the sum of its proper divisors (718275858).

213029325601 is an frugal number, since it uses more digits than its factorization.

213029325601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 213029325601 in words is "two hundred thirteen billion, twenty-nine million, three hundred twenty-five thousand, six hundred one".