2505781806351 has 16 divisors (see below), whose sum is σ = 3391479945984. Its totient is φ = 1645310836224.

The previous prime is 2505781806313. The next prime is 2505781806389. The reversal of 2505781806351 is 1536081875052.

It is an interprime number because it is at equal distance from previous prime (2505781806313) and next prime (2505781806389).

It is not a de Polignac number, because 2505781806351 - 2⁷ = 2505781806223 is a prime.

It is a super-2 number, since 2×2505781806351² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2505781806294 and 2505781806303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505781306351) 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 15 ways as a sum of consecutive naturals, for example, 149470 + ... + 2243636.

It is an arithmetic number, because the mean of its divisors is an integer number (211967496624).

Almost surely, 2^{2505781806351} is an apocalyptic number.

2505781806351 is a deficient number, since it is larger than the sum of its proper divisors (885698139633).

2505781806351 is a wasteful number, since it uses less digits than its factorization.

2505781806351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100190.

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 2505781806351 in words is "two trillion, five hundred five billion, seven hundred eighty-one million, eight hundred six thousand, three hundred fifty-one".