252213055535400 has 96 divisors (see below), whose sum is σ = 781946153701440. Its totient is φ = 67249444354560.

The previous prime is 252213055535393. The next prime is 252213055535431. The reversal of 252213055535400 is 4535550312252.

252213055535400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252213055535400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17551909 + ... + 28504308.

It is an arithmetic number, because the mean of its divisors is an integer number (8145272434390).

Almost surely, 2^{252213055535400} is an apocalyptic number.

252213055535400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252213055535400 is an abundant number, since it is smaller than the sum of its proper divisors (529733098166040).

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

252213055535400 is a wasteful number, since it uses less digits than its factorization.

252213055535400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46065363 (or 46065354 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 252213055535400 in words is "two hundred fifty-two trillion, two hundred thirteen billion, fifty-five million, five hundred thirty-five thousand, four hundred".