2517255135396 has 81 divisors (see below), whose sum is σ = 6652323529761. Its totient is φ = 802533276864.

The previous prime is 2517255135383. The next prime is 2517255135427. The reversal of 2517255135396 is 6935315527152.

The square root of 2517255135396 is 1586586.

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

2517255135396 is a `hidden beast` number, since 2 + 5 + 1 + 72 + 5 + 513 + 53 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1510170632100 + 1007084503296 = 1228890^2 + 1003536^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 218943120 + ... + 218954616.

Almost surely, 2^{2517255135396} is an apocalyptic number.

2517255135396 is the 1586586-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2517255135396

2517255135396 is an abundant number, since it is smaller than the sum of its proper divisors (4135068394365).

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

2517255135396 is an equidigital number, since it uses as much as digits as its factorization.

2517255135396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23050 (or 11525 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 54.

The spelling of 2517255135396 in words is "two trillion, five hundred seventeen billion, two hundred fifty-five million, one hundred thirty-five thousand, three hundred ninety-six".