1061531166624 has 192 divisors, whose sum is σ = 2892088499328. Its totient is φ = 340877752320.

The previous prime is 1061531166613. The next prime is 1061531166649. The reversal of 1061531166624 is 4266611351601.

It is a super-2 number, since 2×1061531166624² (a number of 25 digits) contains 22 as substring.

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, 549161562 + ... + 549163494.

It is an arithmetic number, because the mean of its divisors is an integer number (15062960934).

Almost surely, 2^{1061531166624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061531166624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446044249664).

1061531166624 is an abundant number, since it is smaller than the sum of its proper divisors (1830557332704).

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

1061531166624 is an frugal number, since it uses more digits than its factorization.

1061531166624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1061531166624 in words is "one trillion, sixty-one billion, five hundred thirty-one million, one hundred sixty-six thousand, six hundred twenty-four".