505352351400 has 144 divisors (see below), whose sum is σ = 1696369505760. Its totient is φ = 124394400000.

The previous prime is 505352351389. The next prime is 505352351411. The reversal of 505352351400 is 4153253505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (505352351389) and next prime (505352351411).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2390476 + ... + 2593275.

It is an arithmetic number, because the mean of its divisors is an integer number (11780343790).

Almost surely, 2^505352351400 is an apocalyptic number.

505352351400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505352351400 is an abundant number, since it is smaller than the sum of its proper divisors (1191017154360).

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

505352351400 is a wasteful number, since it uses less digits than its factorization.

505352351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983796 (or 4983774 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 505352351400 in words is "five hundred five billion, three hundred fifty-two million, three hundred fifty-one thousand, four hundred".