1561146552 has 96 divisors (see below), whose sum is σ = 5086473600. Its totient is φ = 422563392.

The previous prime is 1561146541. The next prime is 1561146553. The reversal of 1561146552 is 2556411651.

1561146552 is a `hidden beast` number, since 1 + 5 + 61 + 1 + 46 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561146553) 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, 71938 + ... + 91089.

It is an arithmetic number, because the mean of its divisors is an integer number (52984100).

Almost surely, 2^1561146552 is an apocalyptic number.

1561146552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1561146552 is an abundant number, since it is smaller than the sum of its proper divisors (3525327048).

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

1561146552 is a wasteful number, since it uses less digits than its factorization.

1561146552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163065 (or 163058 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1561146552 is about 39511.3471296538. The cubic root of 1561146552 is about 1160.0620636631.

The spelling of 1561146552 in words is "one billion, five hundred sixty-one million, one hundred forty-six thousand, five hundred fifty-two".