7352891001 has 27 divisors (see below), whose sum is σ = 10765079247. Its totient is φ = 4836243600.

The previous prime is 7352890991. The next prime is 7352891011. The reversal of 7352891001 is 1001982537.

The square root of 7352891001 is 85749.

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

It is an interprime number because it is at equal distance from previous prime (7352890991) and next prime (7352891011).

It can be written as a sum of positive squares in only one way, i.e., 7064570601 + 288320400 = 84051^2 + 16980^2 .

It is not a de Polignac number, because 7352891001 - 2¹¹ = 7352888953 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7352891011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25981806 + ... + 25982088.

Almost surely, 2^7352891001 is an apocalyptic number.

7352891001 is the 85749-th square number.

7352891001 is the 42875-th centered octagonal number.

It is an amenable number.

7352891001 is a deficient number, since it is larger than the sum of its proper divisors (3412188246).

7352891001 is an equidigital number, since it uses as much as digits as its factorization.

7352891001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The cubic root of 7352891001 is about 1944.5511705264.

Multiplying 7352891001 by its sum of digits (36), we get a square (264704076036 = 514494²).

The spelling of 7352891001 in words is "seven billion, three hundred fifty-two million, eight hundred ninety-one thousand, one".