1322235513225 has 405 divisors, whose sum is σ = 2842415326597. Its totient is φ = 607139280000.

The previous prime is 1322235513173. The next prime is 1322235513227. The reversal of 1322235513225 is 5223155322231.

The square root of 1322235513225 is 1149885.

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

1322235513225 is a `hidden beast` number, since 1 + 32 + 2 + 23 + 551 + 32 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 244143703881 + 1078091809344 = 494109^2 + 1038312^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 1322235513225 - 2⁹ = 1322235512713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1322235513225.

It is not an unprimeable number, because it can be changed into a prime (1322235513227) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 13091440675 + ... + 13091440775.

Almost surely, 2^{1322235513225} is an apocalyptic number.

1322235513225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1322235513225 is the 1149885-th square number.

1322235513225 is the 574943-rd centered octagonal number.

It is an amenable number.

1322235513225 is an abundant number, since it is smaller than the sum of its proper divisors (1520179813372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322235513225 is a wasteful number, since it uses less digits than its factorization.

1322235513225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 143 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Multiplying 1322235513225 by its sum of digits (36), we get a square (47600478476100 = 6899310²).

The spelling of 1322235513225 in words is "one trillion, three hundred twenty-two billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred twenty-five".