1042521525200 has 60 divisors (see below), whose sum is σ = 2651990803020. Its totient is φ = 392478689280.

The previous prime is 1042521525179. The next prime is 1042521525289. The reversal of 1042521525200 is 25251252401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 80286089104 + 962235436096 = 283348^2 + 980936^2 .

It is a super-2 number, since 2×1042521525200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76649195 + ... + 76662794.

It is an arithmetic number, because the mean of its divisors is an integer number (44199846717).

Almost surely, 2^{1042521525200} is an apocalyptic number.

1042521525200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042521525200 is an abundant number, since it is smaller than the sum of its proper divisors (1609469277820).

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

1042521525200 is a wasteful number, since it uses less digits than its factorization.

1042521525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153312024 (or 153312013 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 1042521525200 its reverse (25251252401), we get a palindrome (1067772777601).

The spelling of 1042521525200 in words is "one trillion, forty-two billion, five hundred twenty-one million, five hundred twenty-five thousand, two hundred".