11311753257025 has 81 divisors (see below), whose sum is σ = 15467972226651. Its totient is φ = 8202350033280.

The previous prime is 11311753256959. The next prime is 11311753257029. The reversal of 11311753257025 is 52075235711311.

It is a happy number.

The square root of 11311753257025 is 3363295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7382779134129 + 3928974122896 = 2717127^2 + 1982164^2 .

It is not a de Polignac number, because 11311753257025 - 2¹⁹ = 11311752732737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11311753257029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12898235887 + ... + 12898236763.

Almost surely, 2^{11311753257025} is an apocalyptic number.

11311753257025 is the 3363295-th square number.

11311753257025 is the 1681648-th centered octagonal number.

It is an amenable number.

11311753257025 is a deficient number, since it is larger than the sum of its proper divisors (4156218969626).

11311753257025 is an frugal number, since it uses more digits than its factorization.

11311753257025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 43.

Adding to 11311753257025 its reverse (52075235711311), we get a palindrome (63386988968336).

The spelling of 11311753257025 in words is "eleven trillion, three hundred eleven billion, seven hundred fifty-three million, two hundred fifty-seven thousand, twenty-five".