81125697606261 has 32 divisors (see below), whose sum is σ = 134881918488576. Its totient is φ = 42135839544000.

The previous prime is 81125697606259. The next prime is 81125697606301. The reversal of 81125697606261 is 16260679652118.

It is not a de Polignac number, because 81125697606261 - 2¹ = 81125697606259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81125697606195 and 81125697606204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81125697606251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29427870 + ... + 32066351.

It is an arithmetic number, because the mean of its divisors is an integer number (4215059952768).

Almost surely, 2^{81125697606261} is an apocalyptic number.

It is an amenable number.

81125697606261 is a deficient number, since it is larger than the sum of its proper divisors (53756220882315).

81125697606261 is a wasteful number, since it uses less digits than its factorization.

81125697606261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61499953.

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 81125697606261 in words is "eighty-one trillion, one hundred twenty-five billion, six hundred ninety-seven million, six hundred six thousand, two hundred sixty-one".