10577448785401 has 3 divisors (see below), whose sum is σ = 10577452037701. Its totient is φ = 10577445533102.

The previous prime is 10577448785389. The next prime is 10577448785417. The reversal of 10577448785401 is 10458784477501.

The square root of 10577448785401 is 3252299.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 10577448785401 - 2¹⁷ = 10577448654329 is a prime.

It is a super-2 number, since 2×10577448785401² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10577448785401.

It is not an unprimeable number, because it can be changed into a prime (10577448785441) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1626150 + ... + 4878448.

Almost surely, 2^{10577448785401} is an apocalyptic number.

10577448785401 is the 3252299-th square number.

10577448785401 is the 1626150-th centered octagonal number.

It is an amenable number.

10577448785401 is a deficient number, since it is larger than the sum of its proper divisors (3252300).

10577448785401 is an frugal number, since it uses more digits than its factorization.

10577448785401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504598 (or 3252299 counting only the distinct ones).

The product of its (nonzero) digits is 35123200, while the sum is 61.

The spelling of 10577448785401 in words is "ten trillion, five hundred seventy-seven billion, four hundred forty-eight million, seven hundred eighty-five thousand, four hundred one".