2509708650436 has 135 divisors (see below), whose sum is σ = 4916300299281. Its totient is φ = 1121009512896.

The previous prime is 2509708650419. The next prime is 2509708650457. The reversal of 2509708650436 is 6340568079052.

The square root of 2509708650436 is 1584206.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2404031644036 + 105677006400 = 1550494^2 + 325080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23024849950 + ... + 23024850058.

Almost surely, 2^{2509708650436} is an apocalyptic number.

2509708650436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2509708650436 is the 1584206-th square number.

It is an amenable number.

2509708650436 is a deficient number, since it is larger than the sum of its proper divisors (2406591648845).

2509708650436 is an frugal number, since it uses more digits than its factorization.

2509708650436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 2509708650436 in words is "two trillion, five hundred nine billion, seven hundred eight million, six hundred fifty thousand, four hundred thirty-six".