10511893262025 has 135 divisors (see below), whose sum is σ = 19681713631503. Its totient is φ = 5546504937600.

The previous prime is 10511893261999. The next prime is 10511893262089. The reversal of 10511893262025 is 52026239811501.

The square root of 10511893262025 is 3242205.

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

10511893262025 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 18 + 9 + 3 + 2 + 620 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1674091813689 + 8837801448336 = 1293867^2 + 2972844^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 10511893262025 - 2¹⁷ = 10511893130953 is a prime.

It is a super-2 number, since 2×10511893262025² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15903015195 + ... + 15903015855.

Almost surely, 2^{10511893262025} is an apocalyptic number.

10511893262025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10511893262025 is the 3242205-th square number.

10511893262025 is the 1621103-rd centered octagonal number.

It is an amenable number.

10511893262025 is a deficient number, since it is larger than the sum of its proper divisors (9169820369478).

10511893262025 is an frugal number, since it uses more digits than its factorization.

10511893262025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10511893262025 in words is "ten trillion, five hundred eleven billion, eight hundred ninety-three million, two hundred sixty-two thousand, twenty-five".