1561263353 has 16 divisors (see below), whose sum is σ = 1713742800. Its totient is φ = 1413676800.

The previous prime is 1561263331. The next prime is 1561263367. The reversal of 1561263353 is 3533621651.

It can be written as a sum of positive squares in 8 ways, for example, as 5513104 + 1555750249 = 2348^2 + 39443^2 .

It is not a de Polignac number, because 1561263353 - 2²⁴ = 1544486137 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1561260353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137663 + ... + 148571.

It is an arithmetic number, because the mean of its divisors is an integer number (107108925).

Almost surely, 2^1561263353 is an apocalyptic number.

1561263353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1561263353 is a deficient number, since it is larger than the sum of its proper divisors (152479447).

1561263353 is a wasteful number, since it uses less digits than its factorization.

1561263353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132.

The product of its digits is 48600, while the sum is 35.

The square root of 1561263353 is about 39512.8251710758. The cubic root of 1561263353 is about 1160.0909939024.

The spelling of 1561263353 in words is "one billion, five hundred sixty-one million, two hundred sixty-three thousand, three hundred fifty-three".