525553212042400 has 72 divisors (see below), whose sum is σ = 1283031339605820. Its totient is φ = 210217260533760.

The previous prime is 525553212042379. The next prime is 525553212042403. The reversal of 525553212042400 is 4240212355525.

It can be written as a sum of positive squares in 6 ways, for example, as 243574828189456 + 281978383852944 = 15606884^2 + 16792212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (525553212042403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35703886 + ... + 48227314.

Almost surely, 2^{525553212042400} is an apocalyptic number.

525553212042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

525553212042400 is an abundant number, since it is smaller than the sum of its proper divisors (757478127563420).

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

525553212042400 is a wasteful number, since it uses less digits than its factorization.

525553212042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575906 (or 12575893 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 525553212042400 its reverse (4240212355525), we get a palindrome (529793424397925).

The spelling of 525553212042400 in words is "five hundred twenty-five trillion, five hundred fifty-three billion, two hundred twelve million, forty-two thousand, four hundred".