91586127425 has 96 divisors (see below), whose sum is σ = 129323076960. Its totient is φ = 63866880000.

The previous prime is 91586127421. The next prime is 91586127449. The reversal of 91586127425 is 52472168519.

It is a Cunningham number, because it is equal to 302632²+1.

It can be written as a sum of positive squares in 48 ways, for example, as 91310334976 + 275792449 = 302176^2 + 16607^2 .

It is not a de Polignac number, because 91586127425 - 2² = 91586127421 is a prime.

It is not an unprimeable number, because it can be changed into a prime (91586127421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138556595 + ... + 138557255.

It is an arithmetic number, because the mean of its divisors is an integer number (1347115385).

Almost surely, 2^91586127425 is an apocalyptic number.

91586127425 is the 174725-th octagonal number.

It is an amenable number.

91586127425 is a deficient number, since it is larger than the sum of its proper divisors (37736949535).

91586127425 is a wasteful number, since it uses less digits than its factorization.

91586127425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1010 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 50.

The spelling of 91586127425 in words is "ninety-one billion, five hundred eighty-six million, one hundred twenty-seven thousand, four hundred twenty-five".