322625136001 has 27 divisors (see below), whose sum is σ = 382763348163. Its totient is φ = 271140957360.

The previous prime is 322625135993. The next prime is 322625136007. The reversal of 322625136001 is 100631526223.

It is a happy number.

The square root of 322625136001 is 568001.

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., 232579530225 + 90045605776 = 482265^2 + 300076^2 .

It is not a de Polignac number, because 322625136001 - 2³ = 322625135993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (322625136007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210727606 + ... + 210729136.

Almost surely, 2^322625136001 is an apocalyptic number.

322625136001 is the 568001-st square number.

322625136001 is the 284001-st centered octagonal number.

It is an amenable number.

322625136001 is a deficient number, since it is larger than the sum of its proper divisors (60138212162).

322625136001 is an frugal number, since it uses more digits than its factorization.

322625136001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 322625136001 in words is "three hundred twenty-two billion, six hundred twenty-five million, one hundred thirty-six thousand, one".