1005502635030 has 64 divisors (see below), whose sum is σ = 2472944981760. Its totient is φ = 261514678656.

The previous prime is 1005502635019. The next prime is 1005502635047. The reversal of 1005502635030 is 305362055001.

It is a super-2 number, since 2×1005502635030² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310456 + ... + 1451684.

It is an arithmetic number, because the mean of its divisors is an integer number (38639765340).

Almost surely, 2^{1005502635030} is an apocalyptic number.

1005502635030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005502635030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236472490880).

1005502635030 is an abundant number, since it is smaller than the sum of its proper divisors (1467442346730).

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

1005502635030 is a wasteful number, since it uses less digits than its factorization.

1005502635030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141965.

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 1005502635030 in words is "one trillion, five billion, five hundred two million, six hundred thirty-five thousand, thirty".