2269527185025 has 81 divisors (see below), whose sum is σ = 4129306879971. Its totient is φ = 1191553181280.

The previous prime is 2269527185017. The next prime is 2269527185027. The reversal of 2269527185025 is 5205817259622.

The square root of 2269527185025 is 1506495.

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

2269527185025 is a `hidden beast` number, since 2 + 2 + 69 + 5 + 2 + 71 + 8 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 817029786609 + 1452497398416 = 903897^2 + 1205196^2 .

It is not a de Polignac number, because 2269527185025 - 2³ = 2269527185017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2269527185027) 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, 1514026726 + ... + 1514028224.

Almost surely, 2^{2269527185025} is an apocalyptic number.

2269527185025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2269527185025 is the 1506495-th square number.

2269527185025 is the 753248-th centered octagonal number.

It is an amenable number.

2269527185025 is a deficient number, since it is larger than the sum of its proper divisors (1859779694946).

2269527185025 is an frugal number, since it uses more digits than its factorization.

2269527185025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 2269527185025 in words is "two trillion, two hundred sixty-nine billion, five hundred twenty-seven million, one hundred eighty-five thousand, twenty-five".