752401842921 has 45 divisors (see below), whose sum is σ = 1161758275623. Its totient is φ = 485264409840.

The previous prime is 752401842893. The next prime is 752401842937. The reversal of 752401842921 is 129248104257.

The square root of 752401842921 is 867411.

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

752401842921 is a `hidden beast` number, since 7 + 524 + 0 + 1 + 84 + 29 + 21 = 666.

752401842921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 133379074521 + 619022768400 = 365211^2 + 786780^2 .

It is not a de Polignac number, because 752401842921 - 2⁵ = 752401842889 is a prime.

It is a super-2 number, since 2×752401842921² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (752401842991) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 242006115 + ... + 242009223.

Almost surely, 2^752401842921 is an apocalyptic number.

752401842921 is the 867411-st square number.

752401842921 is the 433706-th centered octagonal number.

It is an amenable number.

752401842921 is a deficient number, since it is larger than the sum of its proper divisors (409356432702).

752401842921 is an frugal number, since it uses more digits than its factorization.

752401842921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 752401842921 in words is "seven hundred fifty-two billion, four hundred one million, eight hundred forty-two thousand, nine hundred twenty-one".