752128070401 has 6 divisors (see below), whose sum is σ = 759961914630. Its totient is φ = 744374163456.

The previous prime is 752128070381. The next prime is 752128070471. The reversal of 752128070401 is 104070821257.

It can be written as a sum of positive squares in 3 ways, for example, as 213444000000 + 538684070401 = 462000^2 + 733951^2 .

It is a de Polignac number, because none of the positive numbers 2^k-752128070401 is a prime.

It is a super-2 number, since 2×752128070401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752128070471) 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 5 ways as a sum of consecutive naturals, for example, 39959136 + ... + 39977953.

It is an arithmetic number, because the mean of its divisors is an integer number (126660319105).

Almost surely, 2^752128070401 is an apocalyptic number.

It is an amenable number.

752128070401 is a deficient number, since it is larger than the sum of its proper divisors (7833844229).

752128070401 is an frugal number, since it uses more digits than its factorization.

752128070401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79937283 (or 79937186 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

Adding to 752128070401 its reverse (104070821257), we get a palindrome (856198891658).

The spelling of 752128070401 in words is "seven hundred fifty-two billion, one hundred twenty-eight million, seventy thousand, four hundred one".