261351000624 has 160 divisors (see below), whose sum is σ = 821563845120. Its totient is φ = 69886365696.

The previous prime is 261351000593. The next prime is 261351000697. The reversal of 261351000624 is 426000153162.

261351000624 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 715⁴-1.

It is a junction number, because it is equal to n+sod(n) for n = 261351000591 and 261351000600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894642 + ... + 1150254.

It is an arithmetic number, because the mean of its divisors is an integer number (5134774032).

Almost surely, 2^261351000624 is an apocalyptic number.

261351000624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261351000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410781922560).

261351000624 is an abundant number, since it is smaller than the sum of its proper divisors (560212844496).

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

261351000624 is a wasteful number, since it uses less digits than its factorization.

261351000624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255827 (or 255821 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 261351000624 its reverse (426000153162), we get a palindrome (687351153786).

The spelling of 261351000624 in words is "two hundred sixty-one billion, three hundred fifty-one million, six hundred twenty-four", and thus it is an aban number.