261003125 has 30 divisors (see below), whose sum is σ = 346622346. Its totient is φ = 196520000.

The previous prime is 261003109. The next prime is 261003157. The reversal of 261003125 is 521300162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 15 ways, for example, as 254657764 + 6345361 = 15958^2 + 2519^2 .

It is not a de Polignac number, because 261003125 - 2⁴ = 261003109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 261003097 and 261003106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15353117 + ... + 15353133.

Almost surely, 2^261003125 is an apocalyptic number.

261003125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261003125 is a deficient number, since it is larger than the sum of its proper divisors (85619221).

261003125 is an frugal number, since it uses more digits than its factorization.

261003125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 261003125 is about 16155.5911374360. The cubic root of 261003125 is about 639.0702033871.

Multiplying 261003125 by its sum of digits (20), we get a square (5220062500 = 72250²).

Adding to 261003125 its reverse (521300162), we get a palindrome (782303287).

The spelling of 261003125 in words is "two hundred sixty-one million, three thousand, one hundred twenty-five".