10577645381 has 2 divisors, whose sum is σ = 10577645382. Its totient is φ = 10577645380.

The previous prime is 10577645347. The next prime is 10577645411. The reversal of 10577645381 is 18354677501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6282940225 + 4294705156 = 79265^2 + 65534^2 .

It is a cyclic number.

It is not a de Polignac number, because 10577645381 - 2³⁰ = 9503903557 is a prime.

It is a super-2 number, since 2×10577645381² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10577645311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5288822690 + 5288822691.

It is an arithmetic number, because the mean of its divisors is an integer number (5288822691).

Almost surely, 2^10577645381 is an apocalyptic number.

It is an amenable number.

10577645381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10577645381 is an equidigital number, since it uses as much as digits as its factorization.

10577645381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 10577645381 in words is "ten billion, five hundred seventy-seven million, six hundred forty-five thousand, three hundred eighty-one".