1053315136400 has 120 divisors (see below), whose sum is σ = 2632988431080. Its totient is φ = 404445368320.

The previous prime is 1053315136373. The next prime is 1053315136519. The reversal of 1053315136400 is 46315133501.

It can be written as a sum of positive squares in 12 ways, for example, as 45066194944 + 1008248941456 = 212288^2 + 1004116^2 .

It is a super-2 number, since 2×1053315136400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1744364 + ... + 2269236.

It is an arithmetic number, because the mean of its divisors is an integer number (21941570259).

Almost surely, 2^{1053315136400} is an apocalyptic number.

1053315136400 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 1053315136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316494215540).

1053315136400 is an abundant number, since it is smaller than the sum of its proper divisors (1579673294680).

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

1053315136400 is a wasteful number, since it uses less digits than its factorization.

1053315136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525093 (or 525082 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 1053315136400 in words is "one trillion, fifty-three billion, three hundred fifteen million, one hundred thirty-six thousand, four hundred".