2801011011553 has 6 divisors (see below), whose sum is σ = 2956191677394. Its totient is φ = 2653589379024.

The previous prime is 2801011011499. The next prime is 2801011011559. The reversal of 2801011011553 is 3551101101082.

It can be written as a sum of positive squares in only one way, i.e., 2628393197824 + 172617813729 = 1621232^2 + 415473^2 .

It is not a de Polignac number, because 2801011011553 - 2²⁵ = 2800977457121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2801011011559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3879516276 + ... + 3879516997.

It is an arithmetic number, because the mean of its divisors is an integer number (492698612899).

Almost surely, 2^{2801011011553} is an apocalyptic number.

It is an amenable number.

2801011011553 is a deficient number, since it is larger than the sum of its proper divisors (155180665841).

2801011011553 is an equidigital number, since it uses as much as digits as its factorization.

2801011011553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759033311 (or 7759033292 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 28.

The spelling of 2801011011553 in words is "two trillion, eight hundred one billion, eleven million, eleven thousand, five hundred fifty-three".