10576742401 has 2 divisors, whose sum is σ = 10576742402. Its totient is φ = 10576742400.

The previous prime is 10576742353. The next prime is 10576742417. The reversal of 10576742401 is 10424767501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5360436225 + 5216306176 = 73215^2 + 72224^2 .

It is a cyclic number.

It is not a de Polignac number, because 10576742401 - 2¹⁹ = 10576218113 is a prime.

It is a super-2 number, since 2×10576742401² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10576742201) 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 as a sum of consecutive naturals, namely, 5288371200 + 5288371201.

It is an arithmetic number, because the mean of its divisors is an integer number (5288371201).

Almost surely, 2^10576742401 is an apocalyptic number.

It is an amenable number.

10576742401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10576742401 is an equidigital number, since it uses as much as digits as its factorization.

10576742401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 10576742401 in words is "ten billion, five hundred seventy-six million, seven hundred forty-two thousand, four hundred one".