10353761628761 has 4 divisors (see below), whose sum is σ = 10357113448500. Its totient is φ = 10350409809024.

The previous prime is 10353761628739. The next prime is 10353761628779. The reversal of 10353761628761 is 16782616735301.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 9195716613136 + 1158045015625 = 3032444^2 + 1076125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10353761628761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10353761628697 and 10353761628706.

It is not an unprimeable number, because it can be changed into a prime (10353761622761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1675905236 + ... + 1675911413.

It is an arithmetic number, because the mean of its divisors is an integer number (2589278362125).

Almost surely, 2^{10353761628761} is an apocalyptic number.

It is an amenable number.

10353761628761 is a deficient number, since it is larger than the sum of its proper divisors (3351819739).

10353761628761 is an equidigital number, since it uses as much as digits as its factorization.

10353761628761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351819738.

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 10353761628761 in words is "ten trillion, three hundred fifty-three billion, seven hundred sixty-one million, six hundred twenty-eight thousand, seven hundred sixty-one".