10580057895397 has 2 divisors, whose sum is σ = 10580057895398. Its totient is φ = 10580057895396.

The previous prime is 10580057895317. The next prime is 10580057895431. The reversal of 10580057895397 is 79359875008501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8857522393281 + 1722535502116 = 2976159^2 + 1312454^2 .

It is a cyclic number.

It is not a de Polignac number, because 10580057895397 - 2¹⁵ = 10580057862629 is a prime.

It is a super-2 number, since 2×10580057895397² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10580057895317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290028947698 + 5290028947699.

It is an arithmetic number, because the mean of its divisors is an integer number (5290028947699).

Almost surely, 2^{10580057895397} is an apocalyptic number.

It is an amenable number.

10580057895397 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580057895397 is an equidigital number, since it uses as much as digits as its factorization.

10580057895397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 95256000, while the sum is 67.

The spelling of 10580057895397 in words is "ten trillion, five hundred eighty billion, fifty-seven million, eight hundred ninety-five thousand, three hundred ninety-seven".