1053515242260 has 144 divisors (see below), whose sum is σ = 3454278806160. Its totient is φ = 258362634240.

The previous prime is 1053515242237. The next prime is 1053515242267. The reversal of 1053515242260 is 622425153501.

1053515242260 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 51 + 524 + 22 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 210934444176 + 842580798084 = 459276^2 + 917922^2 .

It is a super-2 number, since 2×1053515242260² (a number of 25 digits) contains 22 as substring.

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 (1053515242267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207381 + ... + 1466300.

It is an arithmetic number, because the mean of its divisors is an integer number (23988047265).

Almost surely, 2^{1053515242260} is an apocalyptic number.

1053515242260 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 1053515242260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727139403080).

1053515242260 is an abundant number, since it is smaller than the sum of its proper divisors (2400763563900).

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

1053515242260 is a wasteful number, since it uses less digits than its factorization.

1053515242260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673978 (or 1673973 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1053515242260 in words is "one trillion, fifty-three billion, five hundred fifteen million, two hundred forty-two thousand, two hundred sixty".