91540738249 has 9 divisors (see below), whose sum is σ = 94815250933. Its totient is φ = 88375689472.

The previous prime is 91540738241. The next prime is 91540738309. The reversal of 91540738249 is 94283704519.

The square root of 91540738249 is 302557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2696205625 + 88844532624 = 51925^2 + 298068^2 .

It is not a de Polignac number, because 91540738249 - 2³ = 91540738241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 91540738196 and 91540738205.

It is not an unprimeable number, because it can be changed into a prime (91540738241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8768937 + ... + 8779369.

Almost surely, 2^91540738249 is an apocalyptic number.

91540738249 is the 302557-th square number.

91540738249 is the 151279-th centered octagonal number.

It is an amenable number.

91540738249 is a deficient number, since it is larger than the sum of its proper divisors (3274512684).

91540738249 is an frugal number, since it uses more digits than its factorization.

91540738249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20924 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 91540738249 in words is "ninety-one billion, five hundred forty million, seven hundred thirty-eight thousand, two hundred forty-nine".