1252632164 has 48 divisors (see below), whose sum is σ = 2678006016. Its totient is φ = 500966400.

The previous prime is 1252632163. The next prime is 1252632167. The reversal of 1252632164 is 4612362521.

1252632164 = 4702² + 4703² + ... + 4757².

It is a self number, because there is not a number n which added to its sum of digits gives 1252632164.

It is not an unprimeable number, because it can be changed into a prime (1252632163) 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, 2684 + ... + 50124.

It is an arithmetic number, because the mean of its divisors is an integer number (55791792).

Almost surely, 2^1252632164 is an apocalyptic number.

1252632164 is a gapful number since it is divisible by the number (14) 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 1252632164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339003008).

1252632164 is an abundant number, since it is smaller than the sum of its proper divisors (1425373852).

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

1252632164 is a wasteful number, since it uses less digits than its factorization.

1252632164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47516 (or 47514 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 1252632164 is about 35392.5439040485. The cubic root of 1252632164 is about 1077.9729249720.

Adding to 1252632164 its reverse (4612362521), we get a palindrome (5864994685).

The spelling of 1252632164 in words is "one billion, two hundred fifty-two million, six hundred thirty-two thousand, one hundred sixty-four".