1252950000 has 120 divisors (see below), whose sum is σ = 4046209776. Its totient is φ = 334080000.

The previous prime is 1252949987. The next prime is 1252950043. The reversal of 1252950000 is 592521.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145824 + ... + 154176.

Almost surely, 2^1252950000 is an apocalyptic number.

1252950000 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 1252950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023104888).

1252950000 is an abundant number, since it is smaller than the sum of its proper divisors (2793259776).

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

1252950000 is an frugal number, since it uses more digits than its factorization.

1252950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1252950000 is about 35397.0337740325. The cubic root of 1252950000 is about 1078.0640902367.

The spelling of 1252950000 in words is "one billion, two hundred fifty-two million, nine hundred fifty thousand".