2591504334225 has 243 divisors, whose sum is σ = 5063076176977. Its totient is φ = 1266834255360.

The previous prime is 2591504334179. The next prime is 2591504334227. The reversal of 2591504334225 is 5224334051952.

It is a happy number.

The square root of 2591504334225 is 1609815.

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

2591504334225 is a `hidden beast` number, since 2 + 5 + 9 + 150 + 433 + 42 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60617886849 + 2530886447376 = 246207^2 + 1590876^2 .

It is not a de Polignac number, because 2591504334225 - 2¹⁷ = 2591504203153 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2591504334227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 24219666622 + ... + 24219666728.

Almost surely, 2^{2591504334225} is an apocalyptic number.

2591504334225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2591504334225 is the 1609815-th square number.

2591504334225 is the 804908-th centered octagonal number.

It is an amenable number.

2591504334225 is a deficient number, since it is larger than the sum of its proper divisors (2471571842752).

2591504334225 is a wasteful number, since it uses less digits than its factorization.

2591504334225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2591504334225 in words is "two trillion, five hundred ninety-one billion, five hundred four million, three hundred thirty-four thousand, two hundred twenty-five".