7255971203481 has 675 divisors, whose sum is σ = 15695362263273. Its totient is φ = 3328109104320.

The previous prime is 7255971203471. The next prime is 7255971203521. The reversal of 7255971203481 is 1843021795527.

The square root of 7255971203481 is 2693691.

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

7255971203481 is a `hidden beast` number, since 7 + 2 + 5 + 597 + 1 + 2 + 0 + 3 + 48 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3597626421081 + 3658344782400 = 1896741^2 + 1912680^2 .

It is not a de Polignac number, because 7255971203481 - 2²³ = 7255962814873 is a prime.

It is a super-2 number, since 2×7255971203481² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7255971203401) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 315477008836 + ... + 315477008858.

Almost surely, 2^{7255971203481} is an apocalyptic number.

7255971203481 is the 2693691-st square number.

7255971203481 is the 1346846-th centered octagonal number.

It is an amenable number.

7255971203481 is an abundant number, since it is smaller than the sum of its proper divisors (8439391059792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7255971203481 is an equidigital number, since it uses as much as digits as its factorization.

7255971203481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 7255971203481 in words is "seven trillion, two hundred fifty-five billion, nine hundred seventy-one million, two hundred three thousand, four hundred eighty-one".