261542004050250 has 1280 divisors, whose sum is σ = 926644254142464. Its totient is φ = 53467356096000.

The previous prime is 261542004050221. The next prime is 261542004050251. The reversal of 261542004050250 is 52050400245162.

261542004050250 is a `hidden beast` number, since 2 + 6 + 1 + 542 + 0 + 0 + 40 + 50 + 25 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (261542004050251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 151794545889 + ... + 151794547611.

Almost surely, 2^{261542004050250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261542004050250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463322127071232).

261542004050250 is an abundant number, since it is smaller than the sum of its proper divisors (665102250092214).

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

261542004050250 is a wasteful number, since it uses less digits than its factorization.

261542004050250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 261542004050250 in words is "two hundred sixty-one trillion, five hundred forty-two billion, four million, fifty thousand, two hundred fifty".