252401010000 has 200 divisors, whose sum is σ = 815393165664. Its totient is φ = 67256640000.

The previous prime is 252401009969. The next prime is 252401010061. The reversal of 252401010000 is 10104252.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57927822 + ... + 57932178.

Almost surely, 2^252401010000 is an apocalyptic number.

252401010000 is a gapful number since it is divisible by the number (20) 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 252401010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407696582832).

252401010000 is an abundant number, since it is smaller than the sum of its proper divisors (562992155664).

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

252401010000 is a wasteful number, since it uses less digits than its factorization.

252401010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 252401010000 its reverse (10104252), we get a palindrome (252411114252).

The spelling of 252401010000 in words is "two hundred fifty-two billion, four hundred one million, ten thousand".