2506519073601 has 63 divisors (see below), whose sum is σ = 3790183925073. Its totient is φ = 1656849417480.

The previous prime is 2506519073533. The next prime is 2506519073677. The reversal of 2506519073601 is 1063709156052.

The square root of 2506519073601 is 1583199.

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

2506519073601 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 519 + 0 + 73 + 60 + 1 = 666.

It is not a de Polignac number, because 2506519073601 - 2¹⁵ = 2506519040833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2506519073801) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 8164557090 + ... + 8164557396.

Almost surely, 2^{2506519073601} is an apocalyptic number.

2506519073601 is the 1583199-th square number.

2506519073601 is the 791600-th centered octagonal number.

It is an amenable number.

2506519073601 is a deficient number, since it is larger than the sum of its proper divisors (1283664851472).

2506519073601 is an frugal number, since it uses more digits than its factorization.

2506519073601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 2506519073601 in words is "two trillion, five hundred six billion, five hundred nineteen million, seventy-three thousand, six hundred one".