10757161652561 has 16 divisors (see below), whose sum is σ = 11207996514000. Its totient is φ = 10311718222848.

The previous prime is 10757161652543. The next prime is 10757161652597. The reversal of 10757161652561 is 16525616175701.

It can be written as a sum of positive squares in 8 ways, for example, as 3203541544336 + 7553620108225 = 1789844^2 + 2748385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10757161652561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10757161652261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8724965 + ... + 9881261.

It is an arithmetic number, because the mean of its divisors is an integer number (700499782125).

Almost surely, 2^{10757161652561} is an apocalyptic number.

It is an amenable number.

10757161652561 is a deficient number, since it is larger than the sum of its proper divisors (450834861439).

10757161652561 is a wasteful number, since it uses less digits than its factorization.

10757161652561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158628.

The product of its (nonzero) digits is 2646000, while the sum is 53.

The spelling of 10757161652561 in words is "ten trillion, seven hundred fifty-seven billion, one hundred sixty-one million, six hundred fifty-two thousand, five hundred sixty-one".