536052627 has 48 divisors (see below), whose sum is σ = 885588480. Its totient is φ = 320166000.

The previous prime is 536052623. The next prime is 536052631. The reversal of 536052627 is 726250635.

It is a happy number.

536052627 is a `hidden beast` number, since 5 + 3 + 605 + 26 + 27 = 666.

It is an interprime number because it is at equal distance from previous prime (536052623) and next prime (536052631).

It is not a de Polignac number, because 536052627 - 2² = 536052623 is a prime.

It is a super-2 number, since 2×536052627² = 574704837827202258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 536052591 and 536052600.

It is not an unprimeable number, because it can be changed into a prime (536052623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230802 + ... + 233112.

It is an arithmetic number, because the mean of its divisors is an integer number (18449760).

Almost surely, 2^536052627 is an apocalyptic number.

536052627 is a deficient number, since it is larger than the sum of its proper divisors (349535853).

536052627 is a wasteful number, since it uses less digits than its factorization.

536052627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 536052627 is about 23152.8103477742. The cubic root of 536052627 is about 812.3362046783.

The spelling of 536052627 in words is "five hundred thirty-six million, fifty-two thousand, six hundred twenty-seven".