1561058415 has 72 divisors (see below), whose sum is σ = 3284562528. Its totient is φ = 682577280.

The previous prime is 1561058399. The next prime is 1561058483. The reversal of 1561058415 is 5148501651.

1561058415 is a `hidden beast` number, since 1 + 5 + 61 + 0 + 584 + 15 = 666.

It is not a de Polignac number, because 1561058415 - 2⁴ = 1561058399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1561058415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35325 + ... + 66105.

It is an arithmetic number, because the mean of its divisors is an integer number (45618924).

Almost surely, 2^1561058415 is an apocalyptic number.

1561058415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1561058415 is an abundant number, since it is smaller than the sum of its proper divisors (1723504113).

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

1561058415 is a wasteful number, since it uses less digits than its factorization.

1561058415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30829 (or 30819 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 1561058415 is about 39510.2317760855. The cubic root of 1561058415 is about 1160.0402322055.

The spelling of 1561058415 in words is "one billion, five hundred sixty-one million, fifty-eight thousand, four hundred fifteen".