261242625 has 64 divisors (see below), whose sum is σ = 518529024. Its totient is φ = 114206400.

The previous prime is 261242617. The next prime is 261242627. The reversal of 261242625 is 526242162.

It is a happy number.

261242625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 261242625 - 2³ = 261242617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 261242592 and 261242601.

It is not an unprimeable number, because it can be changed into a prime (261242627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58212 + ... + 62538.

It is an arithmetic number, because the mean of its divisors is an integer number (8102016).

Almost surely, 2^261242625 is an apocalyptic number.

261242625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261242625 is a deficient number, since it is larger than the sum of its proper divisors (257286399).

261242625 is a wasteful number, since it uses less digits than its factorization.

261242625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4365 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 261242625 is about 16163.0017323516. The cubic root of 261242625 is about 639.2656167840.

Adding to 261242625 its reverse (526242162), we get a palindrome (787484787).

The spelling of 261242625 in words is "two hundred sixty-one million, two hundred forty-two thousand, six hundred twenty-five".