2506262613761 has 16 divisors (see below), whose sum is σ = 2734516008960. Its totient is φ = 2289151711440.

The previous prime is 2506262613739. The next prime is 2506262613769. The reversal of 2506262613761 is 1673162626052.

It is a cyclic number.

It is not a de Polignac number, because 2506262613761 - 2³⁰ = 2505188871937 is a prime.

It is a super-2 number, since 2×2506262613761² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (2506262613769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20884685 + ... + 21004346.

It is an arithmetic number, because the mean of its divisors is an integer number (170907250560).

Almost surely, 2^{2506262613761} is an apocalyptic number.

It is an amenable number.

2506262613761 is a deficient number, since it is larger than the sum of its proper divisors (228253395199).

2506262613761 is a wasteful number, since it uses less digits than its factorization.

2506262613761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41889164.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 2506262613761 in words is "two trillion, five hundred six billion, two hundred sixty-two million, six hundred thirteen thousand, seven hundred sixty-one".