261002461456 has 135 divisors (see below), whose sum is σ = 591329363653. Its totient is φ = 111495324160.

The previous prime is 261002461451. The next prime is 261002461457. The reversal of 261002461456 is 654164200162.

The square root of 261002461456 is 510884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 203202608400 + 57799853056 = 450780^2 + 240416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261002461451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 382140891 + ... + 382141573.

Almost surely, 2^261002461456 is an apocalyptic number.

261002461456 is the 510884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261002461456

261002461456 is an abundant number, since it is smaller than the sum of its proper divisors (330326902197).

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

261002461456 is an equidigital number, since it uses as much as digits as its factorization.

261002461456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 261002461456 in words is "two hundred sixty-one billion, two million, four hundred sixty-one thousand, four hundred fifty-six".