7256251350049 has 27 divisors (see below), whose sum is σ = 7893129316953. Its totient is φ = 6667725073152.

The previous prime is 7256251350037. The next prime is 7256251350109. The reversal of 7256251350049 is 9400531526527.

The square root of 7256251350049 is 2693743.

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 1576513781649 + 5679737568400 = 1255593^2 + 2383220^2 .

It is not a de Polignac number, because 7256251350049 - 2⁹ = 7256251349537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7256251349984 and 7256251350011.

It is not an unprimeable number, because it can be changed into a prime (7256251350349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12361586334 + ... + 12361586920.

Almost surely, 2^{7256251350049} is an apocalyptic number.

7256251350049 is the 2693743-rd square number.

7256251350049 is the 1346872-nd centered octagonal number.

It is an amenable number.

7256251350049 is a deficient number, since it is larger than the sum of its proper divisors (636877966904).

7256251350049 is an frugal number, since it uses more digits than its factorization.

7256251350049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 7256251350049 by its sum of digits (49), we get a square (355556316152401 = 18856201²).

The spelling of 7256251350049 in words is "seven trillion, two hundred fifty-six billion, two hundred fifty-one million, three hundred fifty thousand, forty-nine".