536618952 has 128 divisors (see below), whose sum is σ = 1531152000. Its totient is φ = 174078720.

The previous prime is 536618941. The next prime is 536618981. The reversal of 536618952 is 259816635.

536618952 is a `hidden beast` number, since 536 + 61 + 8 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 536618898 and 536618907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831318 + ... + 1831610.

It is an arithmetic number, because the mean of its divisors is an integer number (11962125).

Almost surely, 2^536618952 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 536618952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576000).

536618952 is an abundant number, since it is smaller than the sum of its proper divisors (994533048).

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

536618952 is a wasteful number, since it uses less digits than its factorization.

536618952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 536618952 is about 23165.0372760330. The cubic root of 536618952 is about 812.6221743538.

The spelling of 536618952 in words is "five hundred thirty-six million, six hundred eighteen thousand, nine hundred fifty-two".