1252635000 has 240 divisors, whose sum is σ = 4087785240. Its totient is φ = 319680000.

The previous prime is 1252634989. The next prime is 1252635001. The reversal of 1252635000 is 5362521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252635001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20534970 + ... + 20535030.

Almost surely, 2^1252635000 is an apocalyptic number.

1252635000 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 1252635000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043892620).

1252635000 is an abundant number, since it is smaller than the sum of its proper divisors (2835150240).

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

1252635000 is an equidigital number, since it uses as much as digits as its factorization.

1252635000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1252635000 is about 35392.5839689616. The cubic root of 1252635000 is about 1077.9737384933.

Adding to 1252635000 its reverse (5362521), we get a palindrome (1257997521).

The spelling of 1252635000 in words is "one billion, two hundred fifty-two million, six hundred thirty-five thousand".