1051581410200 has 48 divisors (see below), whose sum is σ = 2446824141000. Its totient is φ = 420306136320.

The previous prime is 1051581410197. The next prime is 1051581410203. The reversal of 1051581410200 is 20141851501.

It is an interprime number because it is at equal distance from previous prime (1051581410197) and next prime (1051581410203).

It is a super-3 number, since 3×1051581410200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051581410203) 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, 1781730 + ... + 2297329.

Almost surely, 2^{1051581410200} is an apocalyptic number.

1051581410200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051581410200 is an abundant number, since it is smaller than the sum of its proper divisors (1395242730800).

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

1051581410200 is a wasteful number, since it uses less digits than its factorization.

1051581410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080364 (or 4080355 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The spelling of 1051581410200 in words is "one trillion, fifty-one billion, five hundred eighty-one million, four hundred ten thousand, two hundred".