261253600 has 36 divisors (see below), whose sum is σ = 637787304. Its totient is φ = 104501120.

The previous prime is 261253579. The next prime is 261253621. The reversal of 261253600 is 6352162.

261253600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261253579) and next prime (261253621).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162484 + ... + 164083.

It is an arithmetic number, because the mean of its divisors is an integer number (17716314).

Almost surely, 2^261253600 is an apocalyptic number.

261253600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261253600 is an abundant number, since it is smaller than the sum of its proper divisors (376533704).

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

261253600 is a wasteful number, since it uses less digits than its factorization.

261253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326587 (or 326574 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 261253600 is about 16163.3412387415. The cubic root of 261253600 is about 639.2745686691.

The spelling of 261253600 in words is "two hundred sixty-one million, two hundred fifty-three thousand, six hundred".