2505863777553 has 16 divisors (see below), whose sum is σ = 3721208828800. Its totient is φ = 1666607730480.

The previous prime is 2505863777519. The next prime is 2505863777567. The reversal of 2505863777553 is 3557773685052.

2505863777553 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 8 + 6 + 3 + 7 + 77 + 553 = 666.

It is not a de Polignac number, because 2505863777553 - 2²⁶ = 2505796668689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2505863777953) 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, 110214013 + ... + 110236746.

It is an arithmetic number, because the mean of its divisors is an integer number (232575551800).

Almost surely, 2^{2505863777553} is an apocalyptic number.

It is an amenable number.

2505863777553 is a deficient number, since it is larger than the sum of its proper divisors (1215345051247).

2505863777553 is a wasteful number, since it uses less digits than its factorization.

2505863777553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220451189 (or 220451183 counting only the distinct ones).

The product of its (nonzero) digits is 185220000, while the sum is 63.

The spelling of 2505863777553 in words is "two trillion, five hundred five billion, eight hundred sixty-three million, seven hundred seventy-seven thousand, five hundred fifty-three".