1005610500000 has 252 divisors, whose sum is σ = 3574601314830. Its totient is φ = 268161600000.

The previous prime is 1005610499969. The next prime is 1005610500043. The reversal of 1005610500000 is 50165001.

1005610500000 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 610 + 50 + 0 + 0 + 0 + 0 = 666.

1005610500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 649874597904 + 355735902096 = 806148^2 + 596436^2 .

It is a super-2 number, since 2×1005610500000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4388266 + ... + 4611734.

Almost surely, 2^{1005610500000} is an apocalyptic number.

1005610500000 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 1005610500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787300657415).

1005610500000 is an abundant number, since it is smaller than the sum of its proper divisors (2568990814830).

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

1005610500000 is an frugal number, since it uses more digits than its factorization.

1005610500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223515 (or 223479 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 1005610500000 its reverse (50165001), we get a palindrome (1005660665001).

The spelling of 1005610500000 in words is "one trillion, five billion, six hundred ten million, five hundred thousand".