10587040608953 has 2 divisors, whose sum is σ = 10587040608954. Its totient is φ = 10587040608952.

The previous prime is 10587040608899. The next prime is 10587040608961. The reversal of 10587040608953 is 35980604078501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6950647142464 + 3636393466489 = 2636408^2 + 1906933^2 .

It is an emirp because it is prime and its reverse (35980604078501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10587040608953 - 2⁶ = 10587040608889 is a prime.

It is a super-2 number, since 2×10587040608953² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10587040608253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5293520304476 + 5293520304477.

It is an arithmetic number, because the mean of its divisors is an integer number (5293520304477).

Almost surely, 2^{10587040608953} is an apocalyptic number.

It is an amenable number.

10587040608953 is a deficient number, since it is larger than the sum of its proper divisors (1).

10587040608953 is an equidigital number, since it uses as much as digits as its factorization.

10587040608953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 10587040608953 in words is "ten trillion, five hundred eighty-seven billion, forty million, six hundred eight thousand, nine hundred fifty-three".