1631616252 has 96 divisors (see below), whose sum is σ = 4476713472. Its totient is φ = 452825856.

The previous prime is 1631616247. The next prime is 1631616253. The reversal of 1631616252 is 2526161361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631616253) 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, 710418 + ... + 712710.

It is an arithmetic number, because the mean of its divisors is an integer number (46632432).

Almost surely, 2^1631616252 is an apocalyptic number.

1631616252 is a gapful number since it is divisible by the number (12) 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 1631616252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238356736).

1631616252 is an abundant number, since it is smaller than the sum of its proper divisors (2845097220).

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

1631616252 is a wasteful number, since it uses less digits than its factorization.

1631616252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2545 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 1631616252 is about 40393.2698849697. The cubic root of 1631616252 is about 1177.2607753251.

The spelling of 1631616252 in words is "one billion, six hundred thirty-one million, six hundred sixteen thousand, two hundred fifty-two".