5612537952 has 288 divisors, whose sum is σ = 19129324032. Its totient is φ = 1585557504.

The previous prime is 5612537923. The next prime is 5612537971. The reversal of 5612537952 is 2597352165.

5612537952 is a `hidden beast` number, since 5 + 61 + 2 + 537 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5612537898 and 5612537907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5279373 + ... + 5280435.

It is an arithmetic number, because the mean of its divisors is an integer number (66421264).

Almost surely, 2^5612537952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5612537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564662016).

5612537952 is an abundant number, since it is smaller than the sum of its proper divisors (13516786080).

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

5612537952 is a wasteful number, since it uses less digits than its factorization.

5612537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1172 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 5612537952 is about 74916.8736133590. The cubic root of 5612537952 is about 1777.1323129871.

The spelling of 5612537952 in words is "five billion, six hundred twelve million, five hundred thirty-seven thousand, nine hundred fifty-two".