1097129952 has 144 divisors (see below), whose sum is σ = 3318365232. Its totient is φ = 342650880.

The previous prime is 1097129933. The next prime is 1097129989. The reversal of 1097129952 is 2599217901.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1097129898 and 1097129907.

It is a congruent number.

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, 1620238 + ... + 1620914.

It is an arithmetic number, because the mean of its divisors is an integer number (23044203).

Almost surely, 2^1097129952 is an apocalyptic number.

1097129952 is a gapful number since it is divisible by the number (12) 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 1097129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659182616).

1097129952 is an abundant number, since it is smaller than the sum of its proper divisors (2221235280).

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

1097129952 is a wasteful number, since it uses less digits than its factorization.

1097129952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 1097129952 is about 33122.9520423527. The cubic root of 1097129952 is about 1031.3815476046.

The spelling of 1097129952 in words is "one billion, ninety-seven million, one hundred twenty-nine thousand, nine hundred fifty-two".