7259764416025 has 27 divisors (see below), whose sum is σ = 9895080890653. Its totient is φ = 5279720890400.

The previous prime is 7259764415977. The next prime is 7259764416119. The reversal of 7259764416025 is 5206144679527.

The square root of 7259764416025 is 2694395.

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 4511941001689 + 2747823414336 = 2124133^2 + 1657656^2 .

It is not a de Polignac number, because 7259764416025 - 2⁹ = 7259764415513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148167231 + ... + 148216219.

Almost surely, 2^{7259764416025} is an apocalyptic number.

7259764416025 is the 2694395-th square number.

7259764416025 is the 1347198-th centered octagonal number.

It is an amenable number.

7259764416025 is a deficient number, since it is larger than the sum of its proper divisors (2635316474628).

7259764416025 is an frugal number, since it uses more digits than its factorization.

7259764416025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98010 (or 49005 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 58.

The spelling of 7259764416025 in words is "seven trillion, two hundred fifty-nine billion, seven hundred sixty-four million, four hundred sixteen thousand, twenty-five".