261552523432337 has 24 divisors (see below), whose sum is σ = 268025809896000. Its totient is φ = 255231396940256.

The previous prime is 261552523432303. The next prime is 261552523432439. The reversal of 261552523432337 is 733234325255162.

It is not a de Polignac number, because 261552523432337 - 2⁶ = 261552523432273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261552523431337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2288261414 + ... + 2288375712.

It is an arithmetic number, because the mean of its divisors is an integer number (11167742079000).

Almost surely, 2^{261552523432337} is an apocalyptic number.

It is an amenable number.

261552523432337 is a deficient number, since it is larger than the sum of its proper divisors (6473286463663).

261552523432337 is a wasteful number, since it uses less digits than its factorization.

261552523432337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117445 (or 117398 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 53.

Adding to 261552523432337 its reverse (733234325255162), we get a palindrome (994786848687499).

The spelling of 261552523432337 in words is "two hundred sixty-one trillion, five hundred fifty-two billion, five hundred twenty-three million, four hundred thirty-two thousand, three hundred thirty-seven".