7544772900625 has 135 divisors (see below), whose sum is σ = 10506920578693. Its totient is φ = 5414442880000.

The previous prime is 7544772900619. The next prime is 7544772900631. The reversal of 7544772900625 is 5260092774457.

The square root of 7544772900625 is 2746775.

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 (7544772900619) and next prime (7544772900631).

It can be written as a sum of positive squares in 22 ways, for example, as 7272088415761 + 272684484864 = 2696681^2 + 522192^2 .

It is not a de Polignac number, because 7544772900625 - 2⁵ = 7544772900593 is a prime.

It is a super-2 number, since 2×7544772900625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7544772900625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26849725485 + ... + 26849725765.

Almost surely, 2^{7544772900625} is an apocalyptic number.

7544772900625 is the 2746775-th square number.

7544772900625 is the 1373388-th centered octagonal number.

It is an amenable number.

7544772900625 is a deficient number, since it is larger than the sum of its proper divisors (2962147678068).

7544772900625 is an frugal number, since it uses more digits than its factorization.

7544772900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 58.

The spelling of 7544772900625 in words is "seven trillion, five hundred forty-four billion, seven hundred seventy-two million, nine hundred thousand, six hundred twenty-five".