9077138583241 has 9 divisors (see below), whose sum is σ = 9095581293813. Its totient is φ = 9058733210880.

The previous prime is 9077138583239. The next prime is 9077138583281. The reversal of 9077138583241 is 1423858317709.

The square root of 9077138583241 is 3012829.

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 1713405078841 + 7363733504400 = 1308971^2 + 2713620^2 .

It is not a de Polignac number, because 9077138583241 - 2¹ = 9077138583239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9077138583281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1629937705 + ... + 1629943273.

It is an arithmetic number, because the mean of its divisors is an integer number (1010620143757).

Almost surely, 2^{9077138583241} is an apocalyptic number.

9077138583241 is the 3012829-th square number.

9077138583241 is the 1506415-th centered octagonal number.

It is an amenable number.

9077138583241 is a deficient number, since it is larger than the sum of its proper divisors (18442710572).

9077138583241 is an frugal number, since it uses more digits than its factorization.

9077138583241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12220 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 9077138583241 in words is "nine trillion, seventy-seven billion, one hundred thirty-eight million, five hundred eighty-three thousand, two hundred forty-one".