10405610513 has 2 divisors, whose sum is σ = 10405610514. Its totient is φ = 10405610512.

The previous prime is 10405610503. The next prime is 10405610521. The reversal of 10405610513 is 31501650401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10019409409 + 386201104 = 100097^2 + 19652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10405610513 is a prime.

It is a super-2 number, since 2×10405610513² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10405610503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202805256 + 5202805257.

It is an arithmetic number, because the mean of its divisors is an integer number (5202805257).

Almost surely, 2^10405610513 is an apocalyptic number.

It is an amenable number.

10405610513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405610513 is an equidigital number, since it uses as much as digits as its factorization.

10405610513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10405610513 in words is "ten billion, four hundred five million, six hundred ten thousand, five hundred thirteen".