742873333801 has 3 divisors (see below), whose sum is σ = 742874195703. Its totient is φ = 742872471900.

The previous prime is 742873333793. The next prime is 742873333837. The reversal of 742873333801 is 108333378247.

The square root of 742873333801 is 861901.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 108333378247 = 97 ⋅1116838951.

It can be written as a sum of positive squares in only one way, i.e., 95202485401 + 647670848400 = 308549^2 + 804780^2 .

It is not a de Polignac number, because 742873333801 - 2³ = 742873333793 is a prime.

It is a super-3 number, since 3×742873333801³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742873336801) 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 2 ways as a sum of consecutive naturals, for example, 430951 + ... + 1292851.

It is an arithmetic number, because the mean of its divisors is an integer number (247624731901).

Almost surely, 2^742873333801 is an apocalyptic number.

742873333801 is the 861901-st square number.

742873333801 is the 430951-st centered octagonal number.

It is an amenable number.

742873333801 is a deficient number, since it is larger than the sum of its proper divisors (861902).

742873333801 is an frugal number, since it uses more digits than its factorization.

742873333801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723802 (or 861901 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 742873333801 by its sum of digits (49), we get a square (36400793356249 = 6033307²).

The spelling of 742873333801 in words is "seven hundred forty-two billion, eight hundred seventy-three million, three hundred thirty-three thousand, eight hundred one".