5123291913961 has 27 divisors (see below), whose sum is σ = 5588306453871. Its totient is φ = 4694833076544.

The previous prime is 5123291913959. The next prime is 5123291913989. The reversal of 5123291913961 is 1693191923215.

The square root of 5123291913961 is 2263469.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4045806393561 + 1077485520400 = 2011419^2 + 1038020^2 .

It is not a de Polignac number, because 5123291913961 - 2¹ = 5123291913959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5123291913899 and 5123291913908.

It is not an unprimeable number, because it can be changed into a prime (5123291913161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4619739675 + ... + 4619740783.

Almost surely, 2^{5123291913961} is an apocalyptic number.

5123291913961 is the 2263469-th square number.

5123291913961 is the 1131735-th centered octagonal number.

It is an amenable number.

5123291913961 is a deficient number, since it is larger than the sum of its proper divisors (465014539910).

5123291913961 is an frugal number, since it uses more digits than its factorization.

5123291913961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1279 counting only the distinct ones).

The product of its digits is 787320, while the sum is 52.

The spelling of 5123291913961 in words is "five trillion, one hundred twenty-three billion, two hundred ninety-one million, nine hundred thirteen thousand, nine hundred sixty-one".