2553923610001 has 8 divisors (see below), whose sum is σ = 2564526671784. Its totient is φ = 2543331288960.

The previous prime is 2553923609987. The next prime is 2553923610019. The reversal of 2553923610001 is 1000163293552.

It is a Cunningham number, because it is equal to 1598100²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 973032307776 + 1580891302225 = 986424^2 + 1257335^2 .

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 2553923610001 - 2¹⁷ = 2553923478929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2553903610001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2208466 + ... + 3159931.

It is an arithmetic number, because the mean of its divisors is an integer number (320565833973).

Almost surely, 2^{2553923610001} is an apocalyptic number.

It is an amenable number.

2553923610001 is a deficient number, since it is larger than the sum of its proper divisors (10603061783).

2553923610001 is a wasteful number, since it uses less digits than its factorization.

2553923610001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370371.

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 2553923610001 in words is "two trillion, five hundred fifty-three billion, nine hundred twenty-three million, six hundred ten thousand, one".