10735053701 has 8 divisors (see below), whose sum is σ = 10773204120. Its totient is φ = 10696947712.

The previous prime is 10735053697. The next prime is 10735053727.

10735053701 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4084488100 + 6650565601 = 63910^2 + 81551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10735053701 - 2² = 10735053697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10735053731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516845 + ... + 537213.

It is an arithmetic number, because the mean of its divisors is an integer number (1346650515).

Almost surely, 2^10735053701 is an apocalyptic number.

It is an amenable number.

10735053701 is a deficient number, since it is larger than the sum of its proper divisors (38150419).

10735053701 is a wasteful number, since it uses less digits than its factorization.

10735053701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22215.

The product of its (nonzero) digits is 11025, while the sum is 32.

It can be divided in two parts, 107350 and 53701, that added together give a 5-th power (161051 = 11⁵).

The spelling of 10735053701 in words is "ten billion, seven hundred thirty-five million, fifty-three thousand, seven hundred one".