365789088025 has 27 divisors (see below), whose sum is σ = 460154691351. Its totient is φ = 288448439040.

The previous prime is 365789088023. The next prime is 365789088113. The reversal of 365789088025 is 520880987563.

The square root of 365789088025 is 604805.

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

It can be written as a sum of positive squares in 13 ways, for example, as 273735100809 + 92053987216 = 523197^2 + 303404^2 .

It is not a de Polignac number, because 365789088025 - 2¹ = 365789088023 is a prime.

It is a super-2 number, since 2×365789088025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (365789088023) 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, 220752997 + ... + 220754653.

Almost surely, 2^365789088025 is an apocalyptic number.

365789088025 is the 604805-th square number.

365789088025 is the 302403-rd centered octagonal number.

It is an amenable number.

365789088025 is a deficient number, since it is larger than the sum of its proper divisors (94365603326).

365789088025 is an frugal number, since it uses more digits than its factorization.

365789088025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 365789088025 in words is "three hundred sixty-five billion, seven hundred eighty-nine million, eighty-eight thousand, twenty-five".