2505387763779 has 16 divisors (see below), whose sum is σ = 3494717740800. Its totient is φ = 1593531516896.

The previous prime is 2505387763757. The next prime is 2505387763847. The reversal of 2505387763779 is 9773677835052.

2505387763779 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2505387763779 - 2¹² = 2505387759683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (2505387763709) 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, 46644069 + ... + 46697750.

It is an arithmetic number, because the mean of its divisors is an integer number (218419858800).

Almost surely, 2^{2505387763779} is an apocalyptic number.

2505387763779 is a deficient number, since it is larger than the sum of its proper divisors (989329977021).

2505387763779 is a wasteful number, since it uses less digits than its factorization.

2505387763779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93342234.

The product of its (nonzero) digits is 466754400, while the sum is 69.

The spelling of 2505387763779 in words is "two trillion, five hundred five billion, three hundred eighty-seven million, seven hundred sixty-three thousand, seven hundred seventy-nine".