52951000410 has 768 divisors, whose sum is σ = 189586096128. Its totient is φ = 9920102400.

The previous prime is 52951000409. The next prime is 52951000439. The reversal of 52951000410 is 1400015925.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 404206045 + ... + 404206175.

It is an arithmetic number, because the mean of its divisors is an integer number (246856896).

Almost surely, 2^52951000410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52951000410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94793048064).

52951000410 is an abundant number, since it is smaller than the sum of its proper divisors (136635095718).

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

52951000410 is a wasteful number, since it uses less digits than its factorization.

52951000410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 52951000410 in words is "fifty-two billion, nine hundred fifty-one million, four hundred ten", and thus it is an aban number.