364652938225 has 81 divisors (see below), whose sum is σ = 486294640993. Its totient is φ = 271227172480.

The previous prime is 364652938207. The next prime is 364652938241. The reversal of 364652938225 is 522839256463.

It is a happy number.

The square root of 364652938225 is 603865.

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

It can be written as a sum of positive squares in 4 ways, for example, as 75884271841 + 288768666384 = 275471^2 + 537372^2 .

It is not a de Polignac number, because 364652938225 - 2⁵ = 364652938193 is a prime.

It is a super-2 number, since 2×364652938225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4097223981 + ... + 4097224069.

Almost surely, 2^364652938225 is an apocalyptic number.

364652938225 is the 603865-th square number.

364652938225 is the 301933-rd centered octagonal number.

It is an amenable number.

364652938225 is a deficient number, since it is larger than the sum of its proper divisors (121641702768).

364652938225 is an frugal number, since it uses more digits than its factorization.

364652938225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 55.

The spelling of 364652938225 in words is "three hundred sixty-four billion, six hundred fifty-two million, nine hundred thirty-eight thousand, two hundred twenty-five".