1351552501200 has 240 divisors, whose sum is σ = 4725346969152. Its totient is φ = 327490560000.

The previous prime is 1351552501193. The next prime is 1351552501279. The reversal of 1351552501200 is 21052551531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28501510 + ... + 28548890.

Almost surely, 2^{1351552501200} is an apocalyptic number.

1351552501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351552501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362673484576).

1351552501200 is an abundant number, since it is smaller than the sum of its proper divisors (3373794467952).

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

1351552501200 is a wasteful number, since it uses less digits than its factorization.

1351552501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49574 (or 49563 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The spelling of 1351552501200 in words is "one trillion, three hundred fifty-one billion, five hundred fifty-two million, five hundred one thousand, two hundred".