534153312 has 576 divisors, whose sum is σ = 2095994880. Its totient is φ = 130636800.

The previous prime is 534153307. The next prime is 534153317. The reversal of 534153312 is 213351435.

534153312 is a `hidden beast` number, since 5 + 341 + 5 + 3 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (534153307) and next prime (534153317).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534153317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14436558 + ... + 14436594.

It is an arithmetic number, because the mean of its divisors is an integer number (3638880).

Almost surely, 2^534153312 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 534153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047997440).

534153312 is an abundant number, since it is smaller than the sum of its proper divisors (1561841568).

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

534153312 is a wasteful number, since it uses less digits than its factorization.

534153312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 534153312 is about 23111.7570080684. The cubic root of 534153312 is about 811.3756595891.

It can be divided in two parts, 5341 and 53312, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 534153312 in words is "five hundred thirty-four million, one hundred fifty-three thousand, three hundred twelve".