1263309053952 has 448 divisors, whose sum is σ = 3884107852800. Its totient is φ = 361190522880.

The previous prime is 1263309053893. The next prime is 1263309053983. The reversal of 1263309053952 is 2593509033621.

It is a super-3 number, since 3×1263309053952³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2152144603 + ... + 2152145189.

It is an arithmetic number, because the mean of its divisors is an integer number (8669883600).

Almost surely, 2^{1263309053952} is an apocalyptic number.

1263309053952 is a gapful number since it is divisible by the number (12) 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 1263309053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942053926400).

1263309053952 is an abundant number, since it is smaller than the sum of its proper divisors (2620798798848).

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

1263309053952 is a wasteful number, since it uses less digits than its factorization.

1263309053952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 48.

The spelling of 1263309053952 in words is "one trillion, two hundred sixty-three billion, three hundred nine million, fifty-three thousand, nine hundred fifty-two".