2038752766801 has 9 divisors (see below), whose sum is σ = 2063731959849. Its totient is φ = 2014072396836.

The previous prime is 2038752766753. The next prime is 2038752766807. The reversal of 2038752766801 is 1086672578302.

The square root of 2038752766801 is 1427849.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2038752766801 - 2¹⁷ = 2038752635729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2038752766807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118502866 + ... + 118520068.

Almost surely, 2^{2038752766801} is an apocalyptic number.

2038752766801 is the 1427849-th square number.

2038752766801 is the 713925-th centered octagonal number.

It is an amenable number.

2038752766801 is a deficient number, since it is larger than the sum of its proper divisors (24979193048).

2038752766801 is an frugal number, since it uses more digits than its factorization.

2038752766801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34572 (or 17286 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 2038752766801 in words is "two trillion, thirty-eight billion, seven hundred fifty-two million, seven hundred sixty-six thousand, eight hundred one".