261362214125 has 16 divisors (see below), whose sum is σ = 334995726000. Its totient is φ = 203438692800.

The previous prime is 261362214101. The next prime is 261362214149. The reversal of 261362214125 is 521412263162.

It is an interprime number because it is at equal distance from previous prime (261362214101) and next prime (261362214149).

It can be written as a sum of positive squares in 8 ways, for example, as 26317599529 + 235044614596 = 162227^2 + 484814^2 .

It is not a de Polignac number, because 261362214125 - 2¹⁶ = 261362148589 is a prime.

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, 28250750 + ... + 28259999.

It is an arithmetic number, because the mean of its divisors is an integer number (20937232875).

Almost surely, 2^261362214125 is an apocalyptic number.

261362214125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261362214125 is a deficient number, since it is larger than the sum of its proper divisors (73633511875).

261362214125 is an equidigital number, since it uses as much as digits as its factorization.

261362214125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56510801 (or 56510791 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

Adding to 261362214125 its reverse (521412263162), we get a palindrome (782774477287).

The spelling of 261362214125 in words is "two hundred sixty-one billion, three hundred sixty-two million, two hundred fourteen thousand, one hundred twenty-five".