10753763252001 has 32 divisors (see below), whose sum is σ = 18817248076800. Its totient is φ = 5292351017280.

The previous prime is 10753763251967. The next prime is 10753763252107. The reversal of 10753763252001 is 10025236735701.

It is not a de Polignac number, because 10753763252001 - 2¹⁴ = 10753763235617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10753763232001) 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 31 ways as a sum of consecutive naturals, for example, 1225076866 + ... + 1225085643.

It is an arithmetic number, because the mean of its divisors is an integer number (588039002400).

Almost surely, 2^{10753763252001} is an apocalyptic number.

10753763252001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10753763252001 is a deficient number, since it is larger than the sum of its proper divisors (8063484824799).

10753763252001 is a wasteful number, since it uses less digits than its factorization.

10753763252001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450162549.

The product of its (nonzero) digits is 264600, while the sum is 42.

Adding to 10753763252001 its reverse (10025236735701), we get a palindrome (20778999987702).

The spelling of 10753763252001 in words is "ten trillion, seven hundred fifty-three billion, seven hundred sixty-three million, two hundred fifty-two thousand, one".