733080152401 has 9 divisors (see below), whose sum is σ = 739722625681. Its totient is φ = 726496822912.

The previous prime is 733080152393. The next prime is 733080152459. The reversal of 733080152401 is 104251080337.

The square root of 733080152401 is 856201.

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

It can be written as a sum of positive squares in 4 ways, for example, as 699897886801 + 33182265600 = 836599^2 + 182160^2 .

It is not a de Polignac number, because 733080152401 - 2³ = 733080152393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (733080150401) 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 8 ways as a sum of consecutive naturals, for example, 96746925 + ... + 96754501.

Almost surely, 2^733080152401 is an apocalyptic number.

733080152401 is the 856201-st square number.

733080152401 is the 428101-st centered octagonal number.

It is an amenable number.

733080152401 is a deficient number, since it is larger than the sum of its proper divisors (6642473280).

733080152401 is an frugal number, since it uses more digits than its factorization.

733080152401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15380 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

It can be divided in two parts, 733080 and 152401, that added together give a square (885481 = 941²).

The spelling of 733080152401 in words is "seven hundred thirty-three billion, eighty million, one hundred fifty-two thousand, four hundred one".