537069312 has 288 divisors, whose sum is σ = 1762745600. Its totient is φ = 160247808.

The previous prime is 537069311. The next prime is 537069353. The reversal of 537069312 is 213960735.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537069311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863739 + ... + 3863877.

Almost surely, 2^537069312 is an apocalyptic number.

537069312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881372800).

537069312 is an abundant number, since it is smaller than the sum of its proper divisors (1225676288).

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

537069312 is a wasteful number, since it uses less digits than its factorization.

537069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 537069312 is about 23174.7559210448. The cubic root of 537069312 is about 812.8494431245.

The spelling of 537069312 in words is "five hundred thirty-seven million, sixty-nine thousand, three hundred twelve".