1561126103125 has 24 divisors (see below), whose sum is σ = 1951602667560. Its totient is φ = 1248696120000.

The previous prime is 1561126103123. The next prime is 1561126103177. The reversal of 1561126103125 is 5213016211651.

It can be written as a sum of positive squares in 12 ways, for example, as 1401233285169 + 159892817956 = 1183737^2 + 399866^2 .

It is not a de Polignac number, because 1561126103125 - 2¹ = 1561126103123 is a prime.

It is a super-2 number, since 2×1561126103125² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561126103123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20702991 + ... + 20778259.

It is an arithmetic number, because the mean of its divisors is an integer number (81316777815).

Almost surely, 2^{1561126103125} is an apocalyptic number.

It is an amenable number.

1561126103125 is a deficient number, since it is larger than the sum of its proper divisors (390476564435).

1561126103125 is an frugal number, since it uses more digits than its factorization.

1561126103125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81931 (or 81911 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 1561126103125 in words is "one trillion, five hundred sixty-one billion, one hundred twenty-six million, one hundred three thousand, one hundred twenty-five".