7259210401 has 3 divisors (see below), whose sum is σ = 7259295603. Its totient is φ = 7259125200.

The previous prime is 7259210359. The next prime is 7259210503. The reversal of 7259210401 is 1040129527.

The square root of 7259210401 is 85201.

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.

It can be written as a sum of positive squares in only one way, i.e., 4509256801 + 2749953600 = 67151^2 + 52440^2 .

It is not a de Polignac number, because 7259210401 - 2²⁷ = 7124992673 is a prime.

It is a super-3 number, since 3×7259210401³ (a number of 31 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 (7259210701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 42601 + ... + 127801.

It is an arithmetic number, because the mean of its divisors is an integer number (2419765201).

Almost surely, 2^7259210401 is an apocalyptic number.

7259210401 is the 85201-st square number.

7259210401 is the 42601-st centered octagonal number.

It is an amenable number.

7259210401 is a deficient number, since it is larger than the sum of its proper divisors (85202).

7259210401 is an frugal number, since it uses more digits than its factorization.

7259210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170402 (or 85201 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The cubic root of 7259210401 is about 1936.2575671910.

Adding to 7259210401 its reverse (1040129527), we get a palindrome (8299339928).

The spelling of 7259210401 in words is "seven billion, two hundred fifty-nine million, two hundred ten thousand, four hundred one".