1561140295936 has 81 divisors (see below), whose sum is σ = 3374889500241. Its totient is φ = 720406342656.

The previous prime is 1561140295931. The next prime is 1561140295969. The reversal of 1561140295936 is 6395920411651.

The square root of 1561140295936 is 1249456.

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

It can be written as a sum of positive squares in only one way, i.e., 230937913600 + 1330202382336 = 480560^2 + 1153344^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1561140295931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259883845 + ... + 259889851.

Almost surely, 2^{1561140295936} is an apocalyptic number.

1561140295936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1561140295936 is the 1249456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561140295936

1561140295936 is an abundant number, since it is smaller than the sum of its proper divisors (1813749204305).

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

1561140295936 is an frugal number, since it uses more digits than its factorization.

1561140295936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 1561140295936 in words is "one trillion, five hundred sixty-one billion, one hundred forty million, two hundred ninety-five thousand, nine hundred thirty-six".