1351263513600 has 4752 divisors, whose sum is σ = 7078072974336. Its totient is φ = 250822656000.

The previous prime is 1351263513577. The next prime is 1351263513601. The reversal of 1351263513600 is 63153621531.

1351263513600 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 6 + 35 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351263513601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 43589145585 + ... + 43589145615.

Almost surely, 2^{1351263513600} is an apocalyptic number.

1351263513600 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 1351263513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539036487168).

1351263513600 is an abundant number, since it is smaller than the sum of its proper divisors (5726809460736).

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

1351263513600 is a wasteful number, since it uses less digits than its factorization.

1351263513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 1351263513600 in words is "one trillion, three hundred fifty-one billion, two hundred sixty-three million, five hundred thirteen thousand, six hundred".