31201152 has 64 divisors (see below), whose sum is σ = 83505360. Its totient is φ = 10321920.

The previous prime is 31201139. The next prime is 31201169. The reversal of 31201152 is 25110213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31201152² = 1947023772254208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73902 + ... + 74322.

Almost surely, 2^31201152 is an apocalyptic number.

31201152 is a gapful number since it is divisible by the number (32) 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 31201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41752680).

31201152 is an abundant number, since it is smaller than the sum of its proper divisors (52304208).

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

31201152 is a wasteful number, since it uses less digits than its factorization.

31201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 31201152 is about 5585.7991370976. The cubic root of 31201152 is about 314.8160578901.

Adding to 31201152 its reverse (25110213), we get a palindrome (56311365).

The spelling of 31201152 in words is "thirty-one million, two hundred one thousand, one hundred fifty-two".