261248625 has 128 divisors (see below), whose sum is σ = 546324480. Its totient is φ = 122040000.

The previous prime is 261248623. The next prime is 261248627. The reversal of 261248625 is 526842162.

It is a happy number.

261248625 is a `hidden beast` number, since 2 + 6 + 1 + 24 + 8 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (261248623) and next prime (261248627).

It is not a de Polignac number, because 261248625 - 2¹ = 261248623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261248625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261248623) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1150762 + ... + 1150988.

It is an arithmetic number, because the mean of its divisors is an integer number (4268160).

Almost surely, 2^261248625 is an apocalyptic number.

261248625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261248625 is an abundant number, since it is smaller than the sum of its proper divisors (285075855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261248625 is a wasteful number, since it uses less digits than its factorization.

261248625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 261248625 is about 16163.1873403732. The cubic root of 261248625 is about 639.2705107841.

The spelling of 261248625 in words is "two hundred sixty-one million, two hundred forty-eight thousand, six hundred twenty-five".