1252510400 has 84 divisors (see below), whose sum is σ = 3244245480. Its totient is φ = 474624000.

The previous prime is 1252510397. The next prime is 1252510403. The reversal of 1252510400 is 40152521.

It is an interprime number because it is at equal distance from previous prime (1252510397) and next prime (1252510403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1252510403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9800 + ... + 51000.

It is an arithmetic number, because the mean of its divisors is an integer number (38621970).

Almost surely, 2^1252510400 is an apocalyptic number.

1252510400 is a gapful number since it is divisible by the number (10) 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 1252510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622122740).

1252510400 is an abundant number, since it is smaller than the sum of its proper divisors (1991735080).

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

1252510400 is a wasteful number, since it uses less digits than its factorization.

1252510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41242 (or 41227 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1252510400 is about 35390.8236694203. The cubic root of 1252510400 is about 1077.9379951784.

Adding to 1252510400 its reverse (40152521), we get a palindrome (1292662921).

The spelling of 1252510400 in words is "one billion, two hundred fifty-two million, five hundred ten thousand, four hundred".