1561580949 has 48 divisors (see below), whose sum is σ = 2289560064. Its totient is φ = 945561600.

The previous prime is 1561580927. The next prime is 1561580957. The reversal of 1561580949 is 9490851651.

It is not a de Polignac number, because 1561580949 - 2²³ = 1553192341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1561580898 and 1561580907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561580959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6479469 + ... + 6479709.

It is an arithmetic number, because the mean of its divisors is an integer number (47699168).

Almost surely, 2^1561580949 is an apocalyptic number.

1561580949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1561580949 is a deficient number, since it is larger than the sum of its proper divisors (727979115).

1561580949 is a wasteful number, since it uses less digits than its factorization.

1561580949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The square root of 1561580949 is about 39516.8438643574. The cubic root of 1561580949 is about 1160.1696514158.

The spelling of 1561580949 in words is "one billion, five hundred sixty-one million, five hundred eighty thousand, nine hundred forty-nine".