553516131564 has 108 divisors (see below), whose sum is σ = 1540526675688. Its totient is φ = 167448526080.

The previous prime is 553516131547. The next prime is 553516131607. The reversal of 553516131564 is 465131615355.

553516131564 is a `hidden beast` number, since 5 + 5 + 3 + 51 + 6 + 1 + 31 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2475967 + ... + 2690249.

It is an arithmetic number, because the mean of its divisors is an integer number (14264135886).

Almost surely, 2^553516131564 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 553516131564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770263337844).

553516131564 is an abundant number, since it is smaller than the sum of its proper divisors (987010544124).

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

553516131564 is a wasteful number, since it uses less digits than its factorization.

553516131564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214908 (or 214892 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The spelling of 553516131564 in words is "five hundred fifty-three billion, five hundred sixteen million, one hundred thirty-one thousand, five hundred sixty-four".