5261111625 has 96 divisors (see below), whose sum is σ = 11110020480. Its totient is φ = 2186352000.

The previous prime is 5261111623. The next prime is 5261111627.

5261111625 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5261111623) and next prime (5261111627).

It is not a de Polignac number, because 5261111625 - 2¹ = 5261111623 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5261111592 and 5261111601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5261111623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189111 + ... + 215139.

It is an arithmetic number, because the mean of its divisors is an integer number (115729380).

Almost surely, 2^5261111625 is an apocalyptic number.

5261111625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5261111625 is an abundant number, since it is smaller than the sum of its proper divisors (5848908855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5261111625 is a wasteful number, since it uses less digits than its factorization.

5261111625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26072 (or 26055 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 5261111625 is about 72533.5206990533. The cubic root of 5261111625 is about 1739.2386267961.

It can be divided in two parts, 5261 and 111625, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 5261111625 in words is "five billion, two hundred sixty-one million, one hundred eleven thousand, six hundred twenty-five".