261003483225 has 45 divisors (see below), whose sum is σ = 483511263213. Its totient is φ = 139189596480.

The previous prime is 261003483211. The next prime is 261003483229. The reversal of 261003483225 is 522384300162.

The square root of 261003483225 is 510885.

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

261003483225 is a `hidden beast` number, since 2 + 610 + 0 + 3 + 4 + 8 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35222656329 + 225780826896 = 187677^2 + 475164^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 261003483225 - 2¹⁷ = 261003352153 is a prime.

It is a super-3 number, since 3×261003483225³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261003483225.

It is not an unprimeable number, because it can be changed into a prime (261003483229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22984149 + ... + 22995501.

Almost surely, 2^261003483225 is an apocalyptic number.

261003483225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

261003483225 is the 510885-th square number.

261003483225 is the 255443-rd centered octagonal number.

It is an amenable number.

261003483225 is a deficient number, since it is larger than the sum of its proper divisors (222507779988).

261003483225 is an frugal number, since it uses more digits than its factorization.

261003483225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22728 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 261003483225 by its sum of digits (36), we get a square (9396125396100 = 3065310²).

Adding to 261003483225 its reverse (522384300162), we get a palindrome (783387783387).

The spelling of 261003483225 in words is "two hundred sixty-one billion, three million, four hundred eighty-three thousand, two hundred twenty-five".