52492813200 has 90 divisors (see below), whose sum is σ = 182164655634. Its totient is φ = 13998082560.

The previous prime is 52492813199. The next prime is 52492813201. The reversal of 52492813200 is 231829425.

It is a happy number.

52492813200 is a `hidden beast` number, since 52 + 4 + 9 + 281 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52492813199) and next prime (52492813201).

It can be written as a sum of positive squares in 3 ways, for example, as 4437158544 + 48055654656 = 66612^2 + 219216^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52492813201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7287069 + ... + 7294268.

Almost surely, 2^52492813200 is an apocalyptic number.

52492813200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52492813200 is an abundant number, since it is smaller than the sum of its proper divisors (129671842434).

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

52492813200 is a wasteful number, since it uses less digits than its factorization.

52492813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581361 (or 14581347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 52492813200 in words is "fifty-two billion, four hundred ninety-two million, eight hundred thirteen thousand, two hundred".