31431005152 has 96 divisors (see below), whose sum is σ = 68086738944. Its totient is φ = 14217984000.

The previous prime is 31431005131. The next prime is 31431005153. The reversal of 31431005152 is 25150013413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431005153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540293 + ... + 2552635.

It is an arithmetic number, because the mean of its divisors is an integer number (709236864).

Almost surely, 2^31431005152 is an apocalyptic number.

31431005152 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 31431005152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34043369472).

31431005152 is an abundant number, since it is smaller than the sum of its proper divisors (36655733792).

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

31431005152 is a wasteful number, since it uses less digits than its factorization.

31431005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 31431005152 its reverse (25150013413), we get a palindrome (56581018565).

The spelling of 31431005152 in words is "thirty-one billion, four hundred thirty-one million, five thousand, one hundred fifty-two".