261625 has 32 divisors (see below), whose sum is σ = 419328. Its totient is φ = 158400.

The previous prime is 261619. The next prime is 261631. The reversal of 261625 is 526162.

It is an interprime number because it is at equal distance from previous prime (261619) and next prime (261631).

It is not a de Polignac number, because 261625 - 2⁵ = 261593 is a prime.

Its product of digits (720) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 261596 and 261605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11364 + ... + 11386.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2²⁶¹⁶²⁵ is an apocalyptic number.

261625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261625 is a deficient number, since it is larger than the sum of its proper divisors (157703).

261625 is a wasteful number, since it uses less digits than its factorization.

261625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 261625 is about 511.4929129519. The cubic root of 261625 is about 63.9577357676.

Adding to 261625 its reverse (526162), we get a palindrome (787787).

The spelling of 261625 in words is "two hundred sixty-one thousand, six hundred twenty-five".