2506382788337 has 16 divisors (see below), whose sum is σ = 2533561255680. Its totient is φ = 2479260960000.

The previous prime is 2506382788333. The next prime is 2506382788367. The reversal of 2506382788337 is 7338872836052.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2506382788337 - 2² = 2506382788333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2506382788337.

It is not an unprimeable number, because it can be changed into a prime (2506382788333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506235212 + ... + 506240162.

It is an arithmetic number, because the mean of its divisors is an integer number (158347578480).

Almost surely, 2^{2506382788337} is an apocalyptic number.

It is an amenable number.

2506382788337 is a deficient number, since it is larger than the sum of its proper divisors (27178467343).

2506382788337 is a wasteful number, since it uses less digits than its factorization.

2506382788337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584.

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 2506382788337 in words is "two trillion, five hundred six billion, three hundred eighty-two million, seven hundred eighty-eight thousand, three hundred thirty-seven".