1121915025 has 243 divisors, whose sum is σ = 2661029553. Its totient is φ = 450172800.

The previous prime is 1121915023. The next prime is 1121915087. The reversal of 1121915025 is 5205191211.

The square root of 1121915025 is 33495.

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 15421329 + 1106493696 = 3927^2 + 33264^2 .

It is not a de Polignac number, because 1121915025 - 2¹ = 1121915023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1121915025.

It is not an unprimeable number, because it can be changed into a prime (1121915023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 38686711 + ... + 38686739.

Almost surely, 2^1121915025 is an apocalyptic number.

1121915025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1121915025 is the 33495-th square number.

1121915025 is the 16748-th centered octagonal number.

It is an amenable number.

1121915025 is an abundant number, since it is smaller than the sum of its proper divisors (1539114528).

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

1121915025 is a wasteful number, since it uses less digits than its factorization.

1121915025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The cubic root of 1121915025 is about 1039.0903735828.

Multiplying 1121915025 by its product of nonzero digits (900), we get a square (1009723522500 = 1004850²).

It can be divided in two parts, 11219 and 15025, that added together give a square (26244 = 162²).

The spelling of 1121915025 in words is "one billion, one hundred twenty-one million, nine hundred fifteen thousand, twenty-five".