261252413460 has 72 divisors (see below), whose sum is σ = 807417865800. Its totient is φ = 68352830208.

The previous prime is 261252413431. The next prime is 261252413473. The reversal of 261252413460 is 64314252162.

261252413460 is a `hidden beast` number, since 2 + 61 + 2 + 524 + 13 + 4 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1464439824 + 259787973636 = 38268^2 + 509694^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13682935 + ... + 13702014.

It is an arithmetic number, because the mean of its divisors is an integer number (11214137025).

Almost surely, 2^261252413460 is an apocalyptic number.

261252413460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261252413460 is an abundant number, since it is smaller than the sum of its proper divisors (546165452340).

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

261252413460 is a wasteful number, since it uses less digits than its factorization.

261252413460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27385017 (or 27385012 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 261252413460 in words is "two hundred sixty-one billion, two hundred fifty-two million, four hundred thirteen thousand, four hundred sixty".