261552451126624 has 96 divisors (see below), whose sum is σ = 590397560327232. Its totient is φ = 111731702784000.

The previous prime is 261552451126613. The next prime is 261552451126633. The reversal of 261552451126624 is 426621154255162.

It is a super-2 number, since 2×261552451126624² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87339234 + ... + 90284254.

It is an arithmetic number, because the mean of its divisors is an integer number (6149974586742).

Almost surely, 2^{261552451126624} is an apocalyptic number.

It is an amenable number.

261552451126624 is an abundant number, since it is smaller than the sum of its proper divisors (328845109200608).

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

261552451126624 is a wasteful number, since it uses less digits than its factorization.

261552451126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946320 (or 2946312 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 52.

The spelling of 261552451126624 in words is "two hundred sixty-one trillion, five hundred fifty-two billion, four hundred fifty-one million, one hundred twenty-six thousand, six hundred twenty-four".