1252331826900 has 576 divisors, whose sum is σ = 4680180449280. Its totient is φ = 250880716800.

The previous prime is 1252331826881. The next prime is 1252331826937. The reversal of 1252331826900 is 96281332521.

It is a super-2 number, since 2×1252331826900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 799189917 + ... + 799191483.

It is an arithmetic number, because the mean of its divisors is an integer number (8125313280).

Almost surely, 2^{1252331826900} is an apocalyptic number.

1252331826900 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 1252331826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340090224640).

1252331826900 is an abundant number, since it is smaller than the sum of its proper divisors (3427848622380).

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

1252331826900 is a wasteful number, since it uses less digits than its factorization.

1252331826900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1252331826900 in words is "one trillion, two hundred fifty-two billion, three hundred thirty-one million, eight hundred twenty-six thousand, nine hundred".